From 8786d246e4f5cb7aad19cadc991a811a31c37048 Mon Sep 17 00:00:00 2001 From: MachineLearnia <53819539+MachineLearnia@users.noreply.github.com> Date: Fri, 27 Sep 2019 09:36:54 +0100 Subject: [PATCH] Add files via upload --- Scipy tutoriel .ipynb | 1025 +++++++++++++++++++++++++++++++++++++++++ 1 file changed, 1025 insertions(+) create mode 100644 Scipy tutoriel .ipynb diff --git a/Scipy tutoriel .ipynb b/Scipy tutoriel .ipynb new file mode 100644 index 0000000..fee6395 --- /dev/null +++ b/Scipy tutoriel .ipynb @@ -0,0 +1,1025 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Machine Learning avec Scipy\n", + "\n", + "Scipy contient des modules tres puissants pour le machine learning, l'anayse de données, les time series, etc.\n", + "Ce notebook vous montre quelques unes des fonctions les plus utiles" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 1) Interpolation\n", + "Interpoler un signal est parfois tres utile s'il vous manque des données dans un Dataset. Mais c'est une technique dangereuse, qui peut parfois transformer la réalité des choses !" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Création d'un Dataset\n", + "x = np.linspace(0, 10, 10)\n", + "y = np.sin(x)\n", + "plt.scatter(x, y)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "from scipy.interpolate import interp1d" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# création de la fonction interpolation f\n", + "f = interp1d(x, y, kind='cubic')\n", + "\n", + "# résultats de la fonction interpolation f sur de nouvelles données\n", + "new_x = np.linspace(0, 10, 50)\n", + "result = f(new_x)\n", + "\n", + "# visualisation avec matplotlib\n", + "plt.scatter(x, y)\n", + "plt.plot(new_x, result, c='r')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 2) Optimisation\n", + "\n", + "On trouve beaucoup de fonctions dans le module **optimize**. Certaines permettent de faire des minimisations locales, ou globales, d'autres permette de développer des modeles statistiques avec la méthode des moindres carrés. On trouve également des fonctions pour faire de la programmation linéaire.\n", + "\n", + "### curve_fit" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Création d'un Dataset avec du bruit \"normal\"\n", + "x = np.linspace(0, 2, 100)\n", + "y = 1/3*x**3 - 3/5 * x**2 + 2 + np.random.randn(x.shape[0])/20\n", + "plt.scatter(x, y)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "# Définition d'un modele statistique sensé \"coller\" au dataset ci-dessus\n", + "def f (x, a, b, c, d):\n", + " return a * x**3 + b * x**2 + c * x + d" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "from scipy import optimize" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "# curve_fit permet de trouver les parametres du modele f grace a la méthode des moindres carrés\n", + "params, param_cov = optimize.curve_fit(f, x, y)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Visualisation des résultats.\n", + "plt.scatter(x, y)\n", + "plt.plot(x, f(x, params[0], params[1], params[2], params[3]), c='g', lw=3)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Minimisation 1D\n", + "la fonction **optimize.minimize** est utile pour trouver un minimum local dans une fonction a N dimensions" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "# Définition d'une fonction a 1 Dimension\n", + "def f (x):\n", + " return x**2 + 15*np.sin(x)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Visualisation de la fonction\n", + "x = np.linspace(-10, 10, 100)\n", + "plt.plot(x, f(x))" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "# Définition d'un point x0 pour l'algorithme de minimisation\n", + "x0=-5\n", + "result = optimize.minimize(f, x0=x0).x # résultat de la minimisation" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Visualisation du résultat\n", + "\n", + "plt.plot(x, f(x), lw=3, zorder=-1) # Courbe de la fonction\n", + "plt.scatter(x0, f(x0), s=200, marker='+', c='g', zorder=1, label='initial') # point initial\n", + "plt.scatter(result, f(result), s=100, c='r', zorder=1, label='final') # point final\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Minimisation 2D" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "# Définition d'une fonction 2D. X est un tableau numpy a 2-Dimension\n", + "def f (x):\n", + " return np.sin(x[0]) + np.cos(x[0]+x[1])*np.cos(x[0])" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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7tzMPT+rX4DYEQeDehzrw4euLOLL/EvHtQ265P/8VuLjq6Nm/GT37NwMgL6eE0ydSSDiVTsLpdDavPcHKRTUvtau7Di8fA57eTnj6OGFw0eFk0KB31qDRKJErpMgVMiQSgYpyI+XlVZSVVpKVUUBaSi5pybkknE4jJ9vqAgkK9eDFtwfTc0AzpNL6P989exM5eiyZp57sXud1GVkFmM0WvGuh6cquXWM22yo7rVqJo4OSzHxbF02UtzuVJjNJV/MJ9XQFIN7fF4AjqRnE+fkA0NLLG61Cwa6UZPqFhAFWd4yPxpHNKRe5N8zqXzcoHWjnHsiGtAReju1W/Tt9vZuyIzuB4/mptDAEWPsqkdLFvTlrM/dTZqrAQVbz/cQ6NUUlUXEg9yBN9TG1jkOEYzwrM74nr+oKLkqvWuv8W+jl+QCXSk6xKPVLng39DCeFq015kDaQHu7d2Jy9lTYurQnThQIgFSQ8EzqCiUe/4JekdTwZMgSAbh6RtHcLYdb5zfTyisZd5UgHzyC6e4fwzZldDAuMwV2t44mmrVmQcIJ3921m6aAxKKRSJrXvyMR1q1l67gz3RMXQNzKM6L2H+GL7XvpFhqGUyXimZ3sembuIP/af4KGOLfF01jG4TRRL9p7i4V7xeDrriA72olWEL/PXHWJkj2Yo5DIctSrGj+7IY/fXb1z+E4o9NMYHk9FM0vlMwpr6NejarybN4+KpVN7+5Una929xw7pSmZTYDuHEdghn/JQRbFl0gIWfreGDcd/SpKkfEz99kLAWgbd8H6Oe6EZ2ej5/frcVTz8D/e5t0+A22nYOx1GvZv2Ko/8nFPs/YXDV0ql7FJ26RwFWqzc7s4CkS1dJvphNSlIOVzLyOXrwEjmri2/Smi2kUglePs5ExvoR3y6EVm2b4OpeR9DzBqioMPLN7M0E+LswbEirOutdSLIyKEIC7WnFlmvWa222gpteS05RqY3sb2WemJVb/W+Dg5pAgxNH02pYNDKJhDY+vuxJTamWCYJAN79gllw4TaXZhPIa77qnTxhTjqznYlEOTRytbXZ2D0cukbIx83S1Ygfo5t6S5em72JNzip6ecdVyhUROS+cWHMo/wkOWB5FJ7FVGiM46aScWH/ufK3a5RMHogJf5OvFFlqR9zbigd5AItoM+0m8ExwqO88Pln3g/ZgoKiXUPQZQ+kAFe7ViatoOeHnGE6HwQBIHXowcxYsdXfHZ2PR+3GAnAm8170W/dHKYd38rMtoPRKpS8Ft+Fl3asYemF04wIjWFgaDg/Hj3MzL276R8ajoNczqTuHXl4/hLmHT7OI21a0aaJH+1C/Pl+2wFGxEWjVSkZ36cNK/afYe76/bx1X08AHh7Uhmc+Wczq3WcY1jW2wePyn1DsEc39ATh9KKlBir04v5Q9q49yzzN9bqrU/wmZXEbv0e3pMaot25cc5Mf3FvN836mMmtiX+18agKKWzSg3gyAIPD15KFnp+cx6dxlNorwbPFEpFDK69I5h/YqjVFQYUaka3o//lyCRCHj6OOPp40zbTmE2ZVVVJgrzyyjIL6Ugt4SysipMRjNGowmLWUSllqN2UKJ2UODmqcfTywmp7Pa8i2azhanTV3HlSgEzPxmNTFY3W+vYmTQUcinBfq52ZRXXYggKuf0n5qxVU1BSbiMLcnNGEODyVVsXTay3J/uSbKmIbX392Xz5EldKivHUWoO0XX2D+P3cMY5kZ9DOy/o99bim2LdkXKhW7Fq5inauIWzNOsvLUf2qg8KRjgG4KZ3YlXPCRrEDtDHEsyd3L2eLztHUyd5qd1F4oZe7crn0NG1dG75SvV24KD3p5zWO5enfsuPqErq632NTrpKqeCRoHNMTZvJn6iLGBNSYvY8ED2B3zklmJizgq5YvIJNI8dMYGBfckTkXtjHUryVtXJsQqDPwaHgbZp/dw73BzWnt7s/wkGh+PXOEqYe20ycgFK1CyZudujJq0R98d/gAL7TtQIegADoFBzBr136GNY3C2UHN8306cO83C/hxx2Ge690eb4MjI9o3ZfHukzzUIw4/Nyfio/yJDvbk55UHGNgxGvkN3sPa8J/wsbt7O+MT6MrR3Yk3r3wdjm4/i8Ui0rZvs1v+balUQveRbfh21xR6jGrLH5+u4bleH5HagECFTXsyKa9+ej9OLlqmvTCfslsI1LbrEk5VpYljBy7dUh9uBWazheLiCrKzi0hOziElJZcrWYXk5ZfeNeqiQiHDzcOR0Agv4juE0qVXND36x9J3SEv6D29F936xtOsSTvP4IHz8DLet1KuqTHzw0Qp27Ezgyce707xZQJ11LRaRbfvO06ZFUK07UguLrYrbSae2K1Mr5JT/I3iskMnwcNSSlldoI4/0cCe7pJS80prgX5y31S1zOKPGkm/r5Y9UENiVXuN793ZwJEzvxrbMGt87QGePcDLLC7hYkl0tkwgS2rvGcCjvHBVmW15+lD4ShUTBkYKjtY6FIAgEaiJJKj3zP/ez/414Qy9inTqx6cofXCqxZ49E66Po7dGLjVmbOV1YQ5F0lGt4LmwkF0rSWZiyuVr+SEhn/BwMfHhqJZVm6/s/Iaojvho97xxeS5XZjEQQeK99L7LLSvny2F7A+mwGhoUz5/Ah0ousAdFXe3SmpLKKr3daKZIxvp70iw3nl12HySq0kkbG92mNTCrhm9VWPrwgCDw+tB2ZuUWs2FFDW60v/hOKHaBlpzBO7L9IRbn9Zo+6kHg8GblCRnjLwNv+fa3egZe+Gse785+h4GoRL/Sbxqm9DZto/obOyYFXZo4mMyWPn2asbfD1sS0DUanlHNp74eaVbwGiKHL2XAbzF+zl3feXMXbcd/TuN50hwz/nvgdm8fD4uYx79HvuHzObe0Z9Rf9BM+k/aCYPPDibZ577lXffX8a3c7awdNlh9u2/QGpaHsZbZAP9V3Alq5CJL85j+45zPPl4N0be0/qG9fceuUROXgk9O9bOmMnOt36wLo72gVWlXFZNebse3s6OZBbYup8iPKyWdsLVmo02Ua5uqGQyjlypUew6hZJYVy/2ZCbbXN/VK4RDV1MpNdZ8V53dwwHYmW3Li27vEkOlxcjRfFvqokKiIEYfzbGCuskGAZpISkwF5Buzay3/tyEIAkN9nsRV6cWC5JnkV9n3Y6TfcDxVHvxw+Scblkwnt1i6urXg9+QNJJVaDTqVVM4bMYNIKc1lTuI2ANQyOVNa9iGxKIcfz1tZQM3dvBgV1pQfTh3ifL71Gb3WoTOCAB/stF4X5u7KvS2asuDICS5czQXg+T4dMFtEvtxopZK66bXc37UF6w4ncC7V2ve2TQOJDfHmhxX7qKhsmHH1n1HsHXrHUFlh5ND2+pPwK8oqUWmUSBu4TLkR2vSO5fN1r+PkquP1EZ+xY9mhm19UC5q2Dmbwg+1ZPX8fZ44kNehauVxKdDN/Th5NuXnlBqCy0sjqNcd5csLPTHj2V+b+uJ3z5zMJCnJjzP3teerJ7rz0Qj/eemMwb74+mJdf6sfEZ3sz/pEuDBzQnOhoX1QqORcvZbNs+RG++mYjb7y1iIcenkO/gTN44MHZvPbGn3wzexMrVx3l+IkU8vNL75oVVx9UVZlYtOQgjz/5I2mpeUx5ZxijRt44NiKKIr8s2oeXuyNd2oTWWicp0+pSCfBytiuzWMRaue8uWgcbyxwg2MVgbS83v1oml0qJcnXjVHaWTd3Wnr6czLlChalGCXTwCMQkWjiYU/MuuascCdV5sPeq7Wa4GKcmqCQKDubZ7y+M1ceQV5VHZsUVuzIAX7V1HNLL7t4GO6VUzZjA17GIJv5InonJYqsMFRIFjwePJ68qn3kpC2zKJoQOx0GqYua5hZivMYbauYUw2LcFP1/axblC6yTazTuU3j7hfHV6J6klVibfa3Fd0MgVvL1nI6Io4q1zZEJ8W9ZfTGRHchIAEzu3w0Eh58ON1s1cvgY9D3ZowfIjZzidbn2OD/eKx0mj4tNlOxBFEUEQmDCyIzkFpSzcWPtqqS78J3zsADFxQTi7atm87DAd+zat1zUmo/m2l9+1wTPAlU/XvMqUMd/w8WPfU15aQZ8HOja4nbEv9GHvptN8PXkpXy2b2CBWRkwLf36ZvZWiwnIc9fbL+Ybi9Jl03n1/GTk5xQQHuTHxud507xqFrp7Uv39CFEXyC8rIzCwgPT2P9PR80tLzSU3N5cTJVBv3jU6nws/PBX8/A/5+Lvj5GfDzdcHLywn5XdpxnJtbwvqNJ1my9BB5eaW0ahnI88/1wcfHXhH/E9v2nedMYiaTHu9Zpw8+MeUqrk4a9Fr7Z2c0m5FJ7a9zdlCTX2rre/fQaVHJZFzOs6UDR7t7sOTs6WoFABDv4cN3Jw9wMieLeE8roybO1Q+FRMrerGS6etUE49u5hbAgaR/l5irUUmswUSGR0dw5lEO1KPYYfTQApwpP4622D5B6qPyRCjLSyy/Q1Kl9rWPyv4Cr0pthfhNYkPwJazN/ZpDPYzblTbTBDPIewIqMVcTqm9LGxboyc1JomRA6jI/P/s7i1G2M8u8OwKSofuy5msjkE0v5vcOTyCVS3mnZmz5rv+Ptw2v5qfN9uKgdeD2+C6/tXs9fiacYFdaU8S1asfjsaSZv28y6Bx7CoHHguc7t+GDDNjYmXKR3RAhPdGvNssOn+XjlNn57YhQ6tZIn+7Vj6qKtbD91ia5Nm9Ai3JdOzYP5ZfVBhnSpn16Eu6TYLbVwtKUyKb1Htuav77aSlZaHh6/hpu24ejlTmFNCVYURxR0OMjoatHy8+AXeHTuLL174DWd3Pa171X9gARy0Kh59dQAfT5zHpiWH6TMyvt7XRkRbP8zEcxm0qoNHXV9s2HiKmZ+txc1Nx8xPRt9wJ2V9IQgCBmcNBmcN0VE+NmUWi8jVnCKSk3NJTc0lJSWX1LQ8Dhy8xLr1Nf5PiUTA01OPr48Bb28nvL2d8fZywsNDj4e7I9obZF1sKKqqTFy+fJVDhy+zZ+8Fzp6zWmBxrYJ449U2tKynOy+/sIyZczYR3sSDgT1rZyuIosjBsyk0D/OptbywrAK9g/2mJrVCToXR1kUjEQS8HHVkFdu6aMJcXCk1GsksKcZbZ2X+NHOzKtwTOVeqFbtKJqepwYvDObYB2HiXYH69tJsT+am0ca15v1o6h7Ev9zRXyvPwVNd8g25KN1wVLiQUJ9Dbs6dd32USOZ6qANLL7oz70CKasYgmpIIcQWiY8Rajb0cH10HszlmJlzqYOEMPm/Ih3oM4U3SWHy//QqAmAA+VB2BlBu24epyfL68hzhBBsNYbR7maN2IG8eLhBfxyaRfjQ7rg5eDIpNiuvHtkA0uTTjI8KJZ7w2NZfOE0H+zfSg+/JrioHXi3S3ceWr6Y7w4f5Lk27bi/VTP+OnaKjzZuo2NwAFqVkol9OjB5ySZWHTvHoBaRjOjYlD93HWfm0h20jwhAIZcxYWQn7n/rV35YUf8jLu6KYk+6mE1pSYVdutQBo9vy15xtrJq3l0dfHXDTdjwDXBFFkYykqwRGeN/xfirVCt7+6UleHjyDj8bP4dPVrxAc0zCWS6d+sSz9aSe/f7mB7kNa1Ds1b1iU9X4Sz9yeYl+05CCzZm+meXN/Jr89zC697L8BiUTAw12Ph7ue1vHBNmUlJRWkpuaRlp5HaloeaWl5pGfkc/p0ul2SI42DEhcXLQYXDQZnLU56NVqtCu21FKYKhRS5XIpMJkUURYxGC2azmbKyKvLzS8kvKCM3t4SUlFzS0vOq0xpERHjxyLjOdOwYRmCAPaOlLhiNZj7+Zh0lZZV8MaFvNVf9nzhz+Qo5BaW0j609wVh+cRne/p52cqVMRmUtvncPRy1Ximx3ZocarDtYL+TlVSt2dwctXhodx3NsA//xbv7MPbePCpMRlcxqALVw9kcqSDiYe9lGsTd3slr1xwoS6au2dUmF68I5UXjCZpVwPXwdQjmWvx2LaLGjHNYHxcYM1qW/QlFVKiJW408tNRChH0yk01AcZC71bquP11iuVCSzIv07XJVeBGqiqstkEhlPN3mCt09NYfbF73kr8jVkEhmCIPB82CgePzidqWd/5+uWL6CQyunuGUUvr2i+S9xKV48IQnQejAmJY1XKGT44tpFdxmS6AAAgAElEQVSOnkG4q3V81KE3/Zf9zPv7t/B514F0CghkYGg4sw7tZ2BYOMHOBt7p040HfvuLWbv3M6lbR4a3iuHP/SeZsXYH3SKD0aqUTBrehadnLWXe9qM83DOeYB8XhnRpyqItx29wx7a4K4rdbLaweN5exj7RzUbu5uVExz4xrPljP/c93QPNTdwEf3POzx64+K8odgC1VsW785/huZ4f8d5Ds/ly4xs4GrT1vl4QBMY814u3HvmBrSuO0vue+lntWp0KDy89ly/eejBq564EZs3eTKeOYbz95pAbUvf+V9BqVURGehMZafu8RFGkqKicjIwCsrILuZJVRHZ2IXl5peTnl3IuIYPCwnJKS+u/O1WnU2Fw1uDnb6BTp3CaBLsTE+2Dq6vu5hf/AxWVRt76ZAX7jl7mpcd60iSg7pTYS7aeQK2U07Wl/T4Eo9lMZl4xvVqE2ZWZ61CIzmo154qu2sgC9NZsqMmFti6aSIMbCXm2GQ2bGbwxiRbOFGTR0tVqyWvlKsIdvTiaZxtsDdB4opM5cLrwMn29bBV7mC6E3bl7yKrMxvOalXs9vFRB7LesI78qGxel/cR1I5Sb8lmb9hKV5kJiDQ8gFeRIkJJVcYqjeT9zPO93mjj2JM71CTSym0/GUkHKff4v8d3FN5iXNJ0JoTNsNi+5KF14OOghvr4wmyXpyxnlNwKwumQmRYzmzZNz+OnyGp64tnHp9eiBHMq9zNvHlvBrh8eRS6RMjR/IwA1zeefwOmZ3uIcwZ1eeim3Dl8f2MqRJFN38gnmrc1e2Jyfx1pZNzBs+knh/X4bHRvHjvsMMjo4gzN2Vt4Z05/7ZC/h6015eG9iV9pGBdG0azPfr9tM/LhIPJy2PD2uHu0HLvh/rN553RbFrHdUsmb+PwSNb42SwZQ2MGN+FHWtOsHbhfu4Z3+WG7fiGeODs7sixnefoN7bTv9ZfF08n3v7lSV4eNIOpT8zlg4XPNWiXasuOYQRHerNo7nZ6jYirtxskINid5EtXb16xFhQVlfPp5+sID/PkzdcH/yeU+o0gCAJ6vQN6vYOd0r8eZrOFsrIqSksrqDKaMZnMGKvMSKQCMpnVelep5DjpHe6Y/z4nv4S3Z6zkVEI6Lz/RiyG966bX5heVsWHfOfp3iEZbi7slOTsfk8VSnTPmehhNFuS1rAL0KiWFFba0WTeNBoVUSlqRLT0ywtmNnelJGC1m5BLr/Tc1XHPR5GVWK3aA5s7+LEk5ZFNXIkiI1gdyutA+o2OI1mrZXyi5WLtiVwcCcKUiqUGK3SKa2ZDxGqWmq/T3/QwPta3Ls7AqldMFi0koXEVq6V7auj1HE12vm35HDjIdYwJeZfaFV1mQ/Anjm7yHXFLzTOINcXRx68SazLVEOUZUxxFau0QyyLsDi9O209YlmmbOIRiUWt6KGcxLR/7g+8RtPB3eg2BHFyZGd2b6iS2sTj3LQP8onmnejjVJ53lj93o2DH8Ed42W1zp25s0tG/nzzCnujW7KKz06syXxEu+s3cz8saOI9fNkVOtY5u05xpCWUUR6uzNpeBeGf/grny3bwdRx/XHRa3h0cFvG13NM7worxsVNR2WFkQU/7rArC2vqR/P2ISz9aQdVN6H4CIJA616xHNhw4o4l9qoLEa2CefLDezmy9QybFjbsOFdBEBj+SCdSL2ZzfF/9WQO+AS5kpOTeUmbEBQv3UVRUzqSX+qP4j57MdCuQSiXodCo8PZ3w93MhOMid8HAvQkM8CQp0w8/XgJur7o4odYtFZMPOszz80q+cv5TFlBcG3lCpA8xZtheT2cLo3i1rLT960ZqaNybAXvEVVVSgU9Xue/+ni0YiCHhotGSV2rpoQpxcMFospBbXKHxPtQ6D0oFzBbYsmmbOflRYjFwstl0VRjoGklqeTbHRlqHjrfZGKVGSVJpU6725q6xuyuyKtFrL60Ji0TquVpyhk8erdkodQK/wo7378wz1n4tO5s22K++zOu05CqpuzhpzU/lyj99zpJUnsjj1a5scOQAP+I/GS+3FtxfnkFtZsznssSaD8Fa7Mu3cPIqM1l3CPbyiGejTnLkXtnMy3xqzeDS8Dc0M3kw5vI6cihKUUhnTO/Yls7SYjw9uA+De6Ka09vblo53bySopweCg5rUenTmSlsHCI9aEfxP7dMBZo+bdpZsxWyz4ujrxcK941h1OYN8521VVfXBXFLtCIaPP4BasWnyIzLR8u/LRT/cgL7uY9X/ZJ/b5J/qM6UB5aSWb//z3z87u91Anolo34YcpiyjOL735BdehY99YdE4OrP2j/v309jNQWWkiL6dhW+uv5hSzdNlhevWMoUmwe4OubYTVLbT/6GWeeGMe732+GjcXHd9PG0OPDnVneQRITL3K0q0nGNG9GYHetQf/9yek4uGktTkS7W/kFpfhorU/7k0mkWCshXDg6uBATpmt8g1wvJZkrKjmuxIEgXC9OwmFtgo8Sm8N7p4uTLeRRzoGAnCuyFahSAQJAQ7+XK5DsSskKvRyV3Iq02strw0mSyWHc+biroqmic4+KHs9nJWBDPb/lo7uL5NfeZHlKY+TUlJ3SuG/EaVvQx/PBzlZuJvNWX/YlCmlSp4NeRqjxcQ3F2Zjupa6WC1V8kbUg+RXFfNZwp/VlN1XowfgoXbkreOLKTdXIZNImN5mEKWmKt48tNZ6QpyHD+Nj4pl37ji70pOQCAIf9ehFldnM5G3W3O7DYqNoF+jH9C27uFJUjF6t4pUBXTiZdoWF+63K/pFe8fi5OfHRn1uqk4bVF3eNx/7g412RyqT8NGuzXVnT1sFExwWyYNbmm+7cjIwLJrR5AItnbbitfOj1gUQi4Znp91OUV8rCLxq28UipktN9SEv2bDxNSVH5zS8AvK5R7640MPPlihVHMJnMPPRgwyma9YUoihQVl5OclsuZxEwOHk9m54EL7NifWP2398gljpxK4fT5TC6l5HA1t5jyiqr/LK/9cmoOPyzczZiJP/HSB4vJzSvlzWf6MnfaGIL9b+zXLa808s53a9BrVYwf2q7WOmWVVew+k0SHqMBa3QgZBUV4Otn7/+saL2eVmoJy23fJX2dNSHa9xQ4QpnfjQlGOTVu+Ds5oZSoSimyDrWE6q+X9z1OVAAI1gaSUpdpZvn/DVelNTmVGrWW1IalkO2XmHOJcH6uXi1IQJEQ4DWZYwE84yr3ZkPEae7O/wFRLTvbr0cltKHGGnmzLXsTR/K02Zd5qLx4NHsfF0kv8lba4Wh6m8+ORoAHsyjnBygzrBKKTq3g3djjJpbl8esZ6KEeIoyuTYruxKf08f122BjgntepIsN6ZV3auo7iqkmBnA8+3bceGSxdYnZiAIAi8378nZouFyWutyn5As3Dahwbw2bpdZBQUoZTLeHNUd1KuFjB3vf1BKDfCXVuju7jpGPlge37/fjuD7omnacua7duCIDD+1YG8MPJr/vxuK+Neqjv/hCAI3P/SAN59cBZbFu2n133/Loc2OMaPHve2Zfn3WxjyWHfcfG5Oy/wb3Qa3YPkvu9i9/lS9qI/u145ju5pVeJOaNTAazaxZe5y2bZrg5XVnjhs0my0kJmVz5FQqZxMzSb9SQEZWISW3eIiJVCpBr1Oh16nR69Q4Oapx0jvgfN2fk6P1v3qdGketqkF7AOqDyioTqRn5JFy6wunzmZw4m0ZSWh6CAM2j/Bg9JJ7enSNrzfXyTxhNZt6ctZrL6Xl89uIwnGrhrgNsPJpIeZWRQW2i7MqMZjPJOQV0j7JnQFWYzKhq6YdGoaDUaOuudFVrkAkSsspsXTRBOgNlJiPZFSV4qK2ThyAIhOjcSSyyddFoZCp81G5cKLG3vAM0/lRlVXGl4greavtYiEHhwenC+udmzyw7ilKiw0vdsFxPWrkHg/xmczDnW04XLOJK+XF6e09DI689qC0IAoN9Hiev8grL0r7FVemLn0PN5rLWhnjOuZ9n3ZUNhOvCaencHIARfl04VpDItxeW01TfhCCtF61dgxkb1IFfL++mo3soXTwieDisNVsyEvng6EbauQfip3ViRqf+3LN6Ph/s38q0Tn15tEUc6y4kMnnbZtr4+uHv7MQLXTvw8abtrDqdwKCYCKYM68GQz37l/WVbmPXQENpGBDAwPpKfNh6kT0v7gHtduKvO15FjO7Bh5TG+mraaWfOesAnwRTT3p/uQliz+YQe972mNd0DdVKe2fZvRpKkf82esouvw1vWmFN4qHnx1MNsWH2DhF+t4Zno982gCYU198fQzsGvdiXop9r8zE17NKqr3bxw4eIn8gjIGDmhe72vqwvlLWSxee5Tt+xMpucZG8XLXE+BjoGmED94eegxOGrQOShwcFKiU8uodlaIoYjRZqKw0UllloqyiipLSSkrLKikuraSwuJzConIKispJSssl/3RadX6Vf0IQwFGrRqdVodMq0WlU6DQqHNRy1CoFapXcSnuUSpDLpAiCgNliwWy2YDJZKC2rpKSskuKSCnLyS8nMLiT3Olea1kFJVJgXw/o0p2u7cFyc7dMA1IWS8kpe+3olB06n8OrYHrRrGlhrPYtFZP72owS6O9M8yF4hXsjKxWSxEOJhvzIorarCQW6/T0Mtk1FRi+/d3UFTfSbn3wjUWQ2Q5OL8asUOEKrzYH3mKTsKYxOtd60Wu7+D1ZpPKUutVbE7KzwoMxdRaS5HKb05tTa74jTu6ugGc9UBZBIl7dwn4u0Qx7bMd1me8hg9vT/CXW0/cQJIBRn3BUxi9oVX+S3pI55s8jGG64K8o/1HcbHkInMuzWVK1Ft4qj2RCBImRYzmiYOf8OGZX/i61YuopAqeCe/J/tyLTD6+lIWdJ+ChcmR660H0XzeHlw+sYF7XMbTy8OHxmHi+PXmA3gGh9PBvwvSefRn0x2+8vWUTswcMZmx8c9acSeD9DVtpG+iHj7OeiX06MHXV9mpu+0vDu7DrzGXeW7Cp/mPT4NG8g1Cp5Dw9qR9TJv3Bkvn7GDW2g035Iy/3Y++mU3z/8UomfzuuznYEQWDcm0N5+76vWP/7LgY+0vVf7beHnws9RrVjw/zdPDBpIM71TA0rCALte0Wz4rc9lJdWor7J0WwOGiUqtbxBPvaduxLQapW0annjQ5rrgihak1v9ufIwJxMyUClldGsXTuvmgbSI8cPVuf5Uz4bCZDJTWFxBQVEZ+YXWv78ngPyiMopLKigusSrojKxCyiuqKK8wXnPv1N2uSilDq1GhdVDg4qylXctgPN0d8fZwIjzIHT9vAxJJwzdsZeUW88LnS7mckcc7j/ZhYKfoOutuOXGBhLSrfPBgn1pdDn8fi9cq0H5TU05JGa5a+8lGIgiI2N+4k1JNfqXtJOnjYF39pZfZrv4CtK4UGcspMJbhrKj5jUCNFzuuHqfcXIlaWvOeeqk8kSAhvbx2d4vTNYu50JiDu/TGez5MlkoKqlII0Ha+Yb2bIUDbgUH+s9mQ/jqr056lo8crhDr2qbWuRubIQ4Fv8t3FN/j58vs8EfIxGpn1+5VL5Dwb+jRTTr/PF4lf8070m6ilapwVOl6LfIDXTnzHN4lLeCniPhRSGVNbjGL0rtm8c2wxs9s8hI9Gz+SWfXj5wErmJuzjicj2vNiqI9vSLvPqrnVsGP4woS4uvNSuAx/v2sHyhLMMjYji40G9GTp3HpPXbuabewZxf7vmrDtxno9WbqVtiD9uOg0vj+jKjCXb6z0md50u0a5LOO26hPP7tVPjPb1r3AcuHnpGP92THz9Zw4FtZ2ndNbLOduJ6xNC0XSjzZqyi28g2aGrJqncnMfLZPqyft4t1v+9k9Is330z1N+K7RrLkx50c33eRtj1qtyyuh8FVR15O/Y4NtFhE9u2/SNs2IbfECikoKmPqrPXsOngRX08nnnu4G/26RaPT3LkdoDeCTCbFxVnTIIsZrJOR2WzBZLZgNJkRLSIymRSpREAqldxxqmdllYn56w/z86oDCAJ89sJQ2sYE1l3faOLLFbsIdHemX1ztAdi9F1LwM+jxqsXHnl1Sgrdj7dz72iY0vVJFYaWtm8zbwaq8Mv6p2DXWFUJySS7OhusVu9WSTS3Lrva5g1X5eajcyahLsV/jihcac6pZMnWhoCoJETMuytvbWQ1gUDZhaMAcNmW8zfYrH1BQlUScy+O1TqJuKl8eDHydHy+9y7ykaTwSPAWZxLoiclW6MiHkKaafm8kPl35iQshTCIJAS0M49wf0ZF7yRpo6BdPbszVBWjdejurP+yeX8+ulPYxr0pFhgU3ZmnmBT09up51HILEGbz7vOoDBy3/jtV3r+a7HUB5p3ooNFy8wedsWWvv4EuLqwgtd2zNt805WnDrHkKaRfHBPb4Z/+TvvLdvMl2MG0T8ugs4xwThOfape43FXgqfZV4tsjn57elI/BInArE/W2gWKho7riG+wG9++v4LKG6SPFQSBx94bScHVYuZOXvSv9f1v+IZ4ENW6CbtWHmnQdVEtA5ArZJw8UD/ao97JgcL8sptXBJKTcygqKqfVLWS7PHg8mYde/IX9R5N4dlxX5n/1KKMGtvqfKfXbgSBYOewqpRydRoWjTo2DWoFSKb+jSt1ktrBxfwKj3viZ2Yt3Ex/lz+/vPXhDpQ7w+fKdpFwt4LWR3ZDWsv+hoLScPYnJ9Iyx39BktlhIyssn0MU+h025yYRaZm+bqWUyyk2234pKJkcnV5JTYcvm8lFbDamMclt2mq/aanmnldnvo/BQeXClIstODqCTW10+Rca8WsuvR0GVlXXjpAi8ad36QCV1or/vZ4Q7DuR43u/syv4ESx1ntQZoIhnh9wzJZWdZnv6tjd6JdIxgpN8IDuYfZv2VDdXyBwP60NwphC/OL+JyiXViG+7Xip6eUXydsJGTBWnWoGirfriqNDy/dxklxkoiDe5MiuvE+uRE/ko8hVQi4ZNefTGLFl7ZtB6LKDKudUta+nrx3vqtXCkqJsjNwHO92rPlzEVWHTuHIAjo1Dc/p/dv3BXFXpBfxrLlNecrunvqefDxruzfdZ6dm8/Y1JUrZDw9eSiZKbn8/uXGG7Yb1iKQERN6sfbXnRzYWP8TvW8VnQa34uLJVDKT6r+JSKGUE9nCn5P1zLWud9ZQWFA/auWJU1afaNMGHu6xYuMJXnjvL3QaJXOmPsC9g+JuyTXxfxGiKJKYepUv/9jO4Je+583Zq9GoFHz9yj3MmDgEX/cbB6gX7TrBgu3HeKBrC9pG1J7ffe2J85gsFvrHhtuVpRUUUWky08TFPkhfWlWFuhbfu0oqp8JsT49zUWrIrbA1ErwcrP1PL7NV7N5qq+WdXm7/bnuqPMiqyK6VGaOTWSegIqM9jfmfKKxKRUCCo7z2nDq3Aokgo6PHKzQ3jCWhcCUbM96gylz79xPr1JHu7qM4kr+VbdmLbcr6efYhzrklC1MXcbbImhRNKpHyRtRYtDIV75/5hXJTJYIg8E7sUNxUOl478idFxnKclGo+azuU1NIC3jtinRgei4mnrZcfU/ZtIrkon0AnZ97o2IU9qSn8cvwoUomEaYP6YrKYeX3VBiyiyNiOLWkR4M2HK7ZypbBhlOe7otg1GiVzf9xOWlrNrD7svraERXrz1dTV5Ofauh5atA+l76jWLPlh+01T4I59fQiBUT58+tzPFFytf9DxVhDXw3qazNHttR/0WxciWwZy6VzmDVcgf8NRr6a4nvTIhIRMnJwc8PK0P4OzLmzfn8iMORtp2yKIudMfJDTo/9+8d5PZQlJGHit3nmLynLUMeul7Hnj7NxZsPEpUkCefPDeY394bQ+so/5u2tWL/aT5YuJlO0UE8P7T2ndFmi4Vfdx8hxteDSG/7sT+abrUMY73tNzTllZdhUNvz3gWhdoqkXqGiyGhLH1ZLFTjK1eRU2n5zSqkCg0JHdoW9gnZTumEUjRQZ7b8vuUSBSuJAqenmFN1iYyYOMlek146qu1MQBIE418do7/4iaaX7WZn6NOWm2iea7h730typC5uy5nMob5NNG+ODH8FT5cFXibPIrrBOcFZ/+4Okl13l8/NWfrujXM3UFqPIqihkyvGliKJIa3d/noxsz+KkE6xMOY1EEPi08wCkgoSJ21ZhtJgZHRNL98Bgpu3eQUJuDgEGJ17r0Zndl1P4/dAxpBIJH97TB5PZzNuLNjRoo+Jd8bF7eOiRy6VMn7GGz2bej1QqQSqTMGnKUCY8+B2ff7SKKTPutfGPPfb6QI7uSWTGywuZtfIFVA61vwwKpZzXvhvPsz0/5LOJvzJl3oTbzmRYF3xDPHDxdOL4znP0f6j+AaDwWD/MJgsXz6QTdRO3iVanoriwfor9fOIVwkI9632/p89n8u5nq4gM8eT9SYNQ3cJxgP+EKIpcLSghMeUqmTlFZOeXkJVXTEFxOaXlVZRWVFJWYbzGWhGxWCxWV4pUglQiQSaToJTLUMilKBUy1Eo5KoUctVKOg0qOWqnAQaVArZSjVspQKa1lSoUMpdz6J5NJkUoFpIIEiUTAYhExi9bfq6wyUl5ppLSiipKySnILy8gpKCGnoJSUK/kkX8nHeG0/hLNOTatIP+Ii/enWKgRnR3slWtcYLNp9go//3ErbCH9mPDoQeS1pegE2nkokJbeAzx4YWHtQNSUdR5WSMHd7tkx2WSmtvOytXVGk1rZ0ciUlRnuKqqtSS06lvUXooTJwpcLepeKqtDLUrlbm4KSwX7FoZU6U1EOxl5iuoJU3LKdMQxDlNAxHuS8bM6xB1b4+M9HKbVMhCILAcL8JlJoKWZ72LU5yt+ozXNVSNc+HPcu7pz/gi8SveCfqTZRSJS2cQxkb2Jefk9YSrQ9isE9Hmjn781xEbz49u46FyQe4L7ANz0V3Ym9WEm8dWkszgzf+WmemduzL01uW89mR3bwS15mpPfvQb94vvLB+DUtH3c99LWPZkniZT7bspH2gPyFuLrw8oDPvLdvCgn3/8SRgMpmEZ57uxdTpq1i85GD1wQYBwW48/HQP5ny+gU2rj9NrYA1lz0Gr4qVp9/LqmO/48ZM1PD15aJ3tB0b68OjkEXz7xkJWzN3KkMe6/yv3IQgCkfHBnD/esC2/IdHWj/HS2Yx6KfbKShNGo/mGAVGTyUxKSi6t4+sXiCotq+Tdz1dhcNIw/Y3hqFW3bjUlZ+ax4+hFDp5J4XzKVfKKapb7UqkEdyctzo5qtA5KDHoH1Ep5tSKXSAREkWp6otFkptJoorLKRKXRRH5xOeUVRZRXGqv/jHd4I5pGrcBVr8HXw4m2TQNp4utKRIA7wT4uDTYKrhaW8P4fm9hx6jIdIgOZMX4gyjq48MUVlUxfvYNQDxd61MJft4gi2y9cpl2gn93BHJUmE5nFxfiG2zOyKsxGlLVMJCqZnNxKe7eEQaGloMo+juOqdCKpxP6ISBeFVbHnVdVuBTvIdJSab+46KDVdxV11cwLB7cBXE09fnxlsyHiNFSlP0sf3E1yUtrGMv2mQcy6+wfzkT3gi5CM8VNYVmYfKg6dCnmBmwuf8cPknnmryBIIgMDqgJ2eKkph9YRlNtD5E64MYE9SOAzmXmHl2Lc2d/YjQe/N5u6EMXD+XiXuXsrD7QwwICufesKbMOr6Pjt4BtPcOYHqvPjy6YinT9+zk7c7d+GhgLwZ+/xsvLV/LX+PuY1TrWLaeucTMtfYpWOrCXWPF9OoZzc5dCfzw0w7i44MJunbS+9D72rBn+zlmzVhHs7ig6k06YN2ROuShDiz7eRftekbTokPtp9cADHmsO0e3nWXO23/iF+ZJyy7/zgsUFO3LrpVHKC+pQF3P/OGunnq0jmoun7v5uap/pzYuK61E71S3xZiWno/JZKl3Gtqvf9nGlatFfPXevehvgUGUV1TGnxuPsvFAAqlZVuss2MeFDs2CCPN3J8zfDT8PJ5wdHWoNGN4OjCYzZRVVVFSarMq+ykiV0USl0UxllQmTyYzZImK2WBAtIoJEQCqRIJUI1asAjUphTQvs6HBHVioms4XVB8/y6dIdVBiNvDyiC6M7t6gzViGKIh+v3EZOSSlfjBlU6xgdTcsgu6SUPhH273lKYSFmUaSJs/3+jlJjFVq5/UStkEgxWuz94nqFmuTSHDu5i8KRw1X2J5o5X7PS8+vwoztIdRQY7du7HqIoUmbKwaEemRpvF14OzRnk9w3r0l9mVeoE+vrMsMtJo5I6MDbwTWZfeJVfL3/AEyFTcbwWCG6qj2Gk73D+TFtMgCaAAV79kAgSXoscw4TDn/LB6V+YHTcJJ4WW95sP576ds3j5yELmd3wKX40T01oP5Ondi5lxYitvtOjJlLY9OJiVxvPbV7N+2MN0CwxmbGxzfjp2hM7+gXQJDOKjAb146q8VfL59D6/06Mz79/Rm7fEEHvqgfvd811IKCILAC8/3RaNR8uHHK6i6drivVCph0jtDsVgsfDJlmQ17BmDcS/3wC3bnk0kLyMuu24cuCAKvfPcofmFefDDuW5LO1X+bc0PgH2bNnNeQAKogCPiHepBSj5S8Gq01El56k9QKqanWsxT9/W+es/pSylVWbT7JqIGtaBbpe9P61yMzp4hPftvCkJe+56dV+/F21fPKg91ZMXM8f3z4EG8/2od7e7WgRbgvrk7aO67UAeQyKXqtGg8XHYHeBiIDPWgW6kPrKH86NQ+mW1woPVuH0adtBH3bR9KnbQQ9W4fRLS6U9rFBtAj3JSzAHR83/W0r9aKyCn7ZfIhB7/7I5HkbCHB35o9XxvBA15Y3DED/vucoy4+c4bH/j7uzDo/i7t7+Z1az2bh7AgkQrEhwdyhuxaVQXIpbcQ3uXqzFoUCLFila3N0tLsRlk6zM+8cmFJrdJLQ8D8/vva+LC8jM7s5MZs+c7zn3ue86lSjtbbocse/uI1RyGXUCcs8kPIw13jvFnHIHxsTMDGwVuZMMAeG97duHsJJZkKLNfX85KGxI12eQ+Wlzq5kAACAASURBVDdza7VUjVyQk5hlutxiKbNGk0/GrjWkoRezUEkLPrn9b+Cg9KeV91pUUgeOhY0iIj231ZydwpkefhNJ16ey5fVMNB80XZu6f01FhwrsDd3HnQRjScRabsnkkj1J0qYR/HgretGAvULN3HIdiNAkMuXufkRRpLFXIN0Dgtj47CpnIp5jKVewvE4L4jPSGXX+KKIoMr5GLYo6OjH65O/EpqdRv6g/ncqVZsOVm1x8/RZnazU9apgWljOFLxLYcxo7DvZqxo5uyqtXsazfcPb9dncvewaN/pp7N9+w+6c/P3qt0kLODyu6kZ6aydwRO/LUh1Fbq5ixYwhKlYIpnVcQ/wmj+QWFY/bY/qe+t6efExFv885qgPe9hAxN3o3WiEjjl8zTI39rt427LmGpUtC9bd7enh9Cp9Oz/sAl2o3bxP6z92hUJZDds79lxZh2tK9fFjfHgg1p/f+AtIwsTt99weStx2k8eQNLfr2Ah6Mti/u0YMuIjhRyyztYnX38ivlHztOgZACD65vWlXmXmsahh49pUTIQK2VumtutyHCs5AqKOuR+kMekp+FimXuQzCAakJmY8FRJ5Wj0ue8vG7lxhZj8N5VHQRCwkVuTZKJ5CmAhVZOhz5uiq9Eb71eVLP/79XNBLXehufcKrOSuHA8fTWhabukDT0t/uvqOJTYjjF1vF6LPpksKgkDfQr3xtfRhzct17we0ilh7833R9txKeMaW10b9qHIOvgwPbMyZ6Mdse30JgAllG1DczoUxVw8RmZ5MaSc3fqhYhz9CX7Lp4U0sZHKWN2lGalYWo08cwyCKTGhYm8KODow7eJz49IL12XLwrwO7IAjegiCcEQThsSAIDwVBGJbfa16FvCMqm7FSpXIAbVoHsf/ADa5d/4sC2KhFWeo0LsXW9Wd5ePdjeU6/om4MmdGW+9desX1F3mO2Ll6OzNgxlKS4FKZ1W0V6yueV97XNNt1IiivYEFEOPP2ciI9JISM9K8/9LLM1vTX57BcVmYS1tUW+HqYh4fGcu/qcDs2CClyCiUlIYeD8X9jw2xUaVirGr/O/Y/J3jc0qGP7/BK1ez5voeI7deMKi/efovXQPtcevYeSGQ5y5/5JG5Yuya2xXNg77hnplAvKliR648ZDh2w9T3MOZ4A5NzO6/4sIVdHoD31WpYHL7lbBQyrm751oRaXRaEjI1uJoI7FqDHpmJFZSRHmkqsBsHllJ0uYO0jdyGFJ3prNxCqibToHkfFE0hU29MhCwkBWdwfQ5Yypxo5rUcO4UvJ8LH8TIltwhhgHVZWnn150XqXQ6Gr3ufiCqlSoYVHYJComTZs5Wk6YwZfRP3yjR1r8KukFOcj7kDQLdCVannWpxlT05wJz4EpVTGimptyTLoGXb5AFqDnl4lg2jg40/w9bPcjY2kqKMTk2vV4ULIWzbcuoFKLmdJm6YkaDL44fCJTxLP+xw1dh0wShTFW4IgWAM3BUE4KYriI3Mv0BtEZiw7wvLpHZFJJfTrU4fbd94yb8ERNqzrjb29GkEQ+H58c54+DGfupP2s2tb/I1PnBm2CuHf1JbvWnKZ0pcJ51tuLlPVl/Lo+zPx2LRPaLWbW7mFYf+J0ozkI2V9MU6PdecElO7OOjUzE2988xVCZ7eWakZF3YI+OTcLFOf+sef/vd5DJJLRpUjAtmdtPw5iw6jCaTC0z+n9Nk6rmp38/FaIokpCqIS4lncQ0DUlpGaRqMsnQGhunWVo9eoMBgyhmMz2MmZM0u2Yul+bowxj/LZdl/z/75zKpFLlUgiAISATj70o0iOhFEdEgojOIZGQZa/SaLC1JaRkkpmpISNMQk5hK2LskohNT0GfTzJRyKUU9nelWtzzVS/hRtrCHWbbL36HV65l/5Dw7Lt+haoAPCzs3w1Jhugz0KCqGXbfu0b1iWQqZGEwKSUrkRUI8nUrl9lx9nWSsexe2zf3QTdVlYSXPnf1LBIlJTrpamt3f0eVOhqxkVqTqTPPDLSTGTD/LkIFKavp7lqk3JnZK6X9/paeS2dPMazknIsZzNnImAhIKW3/s5lbBoQEJWTGcjfkFW7kT9Vw7AOCgcGBokUHMfbKANS/XM7LoMCSChMFF2vE6LZKFT3fhq3bHV+3KtDJt6PLnGsbd3s3OGoMoZO3I7IpNGX75VxbeO8uEsvVZVKspXx/YwpAzhzjSuiedS33FnyFvWXj5Typ5elHWzZ1x9Wsy68RZtt64U+Bz/NeBXRTFSCAy+98pgiA8BjwBs4HdzdmGe4/D2bLnEn0610CplDNxQksGDfmJufMPEzy7AxKJgNpKyQ+z2zPiu40smXWQKfM7fMRSGDS1Nc/uhTJv5A6W7f8e1zwc5qt+XZbJmwcwp896xrddzNz9Iz9LcDfojV96gU9jTzhnl3BiIgoW2PPjvMfGpODskrflW5ZWx+9nH1K3ajEc7PI/90evohi2aD+uDtasHvcNhT0L7jmZ6/iSUnkUEs3DkGiehsUSFpdEeFwSGVkF05k2crP/8ccXGCqFHDsrFc42asoU9sDL0RYvJ1uKe7tQyM2hwIH8Q9wNiWTmb6d5HBFDr5pBDG9cw6xfaqZOxw+HT2JvqeL7WqbLNAefGgdmGvnnnlR9nmgs7xWyzf1dSMnKwEWV+x6RCAJ6ExdXJTMG9jR97sCulqqJzjDdI1JIjK/L1GvMB3aDMdtXSD/dpvBzQCG1orHnfH4PG82ZyOmIoh5/m4/14Bu4diZJ+44/ondhLbOnomNDAIpaF6GHb1c2v/mZXSF76OLbCYVExuQS3zLo5iKmP9zEyvIjsJGrWFi+Ez0u/ciEO3tZXakHLXxKciM2lA1Pr1DR2ZsGnkVZUbclHY7sYPyfv7OqbkvmNmhEsx1b+f73wxzu3J3uFcpy6XUI8/64UODz+6ysGEEQ/IByQJ66nTZWFnxdpyQ/779K0Fe+lCvpjX9hFwYPbMDS5cfZuesyXbsY5XeLlvCg95AGrF96gv07rtCu6183u4VKwcQV3RnxzUqmD9jCol2D8hTWqtq0LFN+HsiMHmuY0G4JwftG/OvgHhdlrBU6fMJQEIC9s3GpnJCPwJdSafwVZWXmHQDj4lPztJQDuHLrNanpmXxdx7xYVQ5CoxMYseQADrZq1ozvgFMBHgQfQqc3cOdVBOfuv+Tsg1eExhqvk0QQ8HO1x8fZnirFfPB0tMXJVo2dpQW2ahXWlkossvnoCrkUmUTy0cNcFMX3jBed3oBWr0er06PTG8jS6dHq9eh0BrR6AzqD8eeIRuqg3iAiEXhPs5RKJKgUciwUMiwUcmwtLbD4jMqgTyJjWX7iIueevMbJ2pIV3VualOX9EMEnz/EoOoZ1HVphY5G7rKYzGNj54C41vH3xssl9z92NjcRCKqOofe6mamxGGiXsczdqDaIBqYnauzJbPyXLkPveU8lUaPSm6745qo5ZBvNlzyyDMdtXSD7PyvmfQC6xpLHXQk6Gj+dM1Ay0hnQC7Vq+3y4IAm28BpGqS+Jg+DrsFS7vOe51XGoTpgnnePRJPFQe1HGphbOFHRNL9GDc3bUseLKTKSW/JdDWgx9KNWfavV9Z9fQPvg9syA9lG3A7LpwxVw9xqPF3VHD1ZExQLebeOEdV9zt0L16O5U2a0XHfbsadOsHqpi0Ibt6Isy9e03ZCwc7ts93FgiBYAfuA4aIo5uqqCILQD+gH4OPjw4g+9bn/NIIZS4+weVEP7GwsadG8LPfuh7L5pwuUKulFmTJGLmnbLlV4eCeEDStOUrS4x0fa7d7+LkxY1o0pfTexYMwuJq3snqcfacUGpZn800Bm9lzDsEbBTN02CN9i/9wIOzrEmCE5f2K92c7RmKkk5hPYc2zt8srY9XoDSUnpODjk/SU5fekpdjYqypfOe2oyPSOLkUt+xSCKLBvV9pOCelJaBnsu3GXX+TvEpaQjl0mpVMSbDjXKUMrPlUBPF1T/goliHGYyDjR9BpbiZ0dqRiZ/PHrJkTtPuPj8LTYWSoY3rk7XauXMll5ysPnqLXbcukefKkHULVLY5D7HXzwnMjWVqbVNz2bcjImgtJPbew/THOgNBuIy03CyyP271BlMN1XlEuO9pzXkvvdUUguzgT0nY88rsGs/Y2AXRRGDmIlU8um6RgqJJY09F/BH5CT+jFmAIEgpZvuXqJ9UkNHJZxTrX/7AzrcL6BcwG1cLY/zp7NORSE0UW99ux1PlQRHrAMraF6GvfwvWvfyNHSGn6OrbkNbeQdxLCGPTy/OUtfehlmsxVlRrS8sTGxlycT+76/eg/1eVuBIVyowrpynr7E45dw/GVKtB8J/n2XrvDj3KlKPNVwWnbH8WVowgCHKMQX27KIr7Te0jiuJ6URQriKJYwdnZGUuVgukjm5OYrGHGsqMYDEY96JHDG+PhYc+s4IMkJqbnvD+jprbGw8uBOT/8QtzfgmFQzaL0Hd+cyycfsmv16XyPt1LD0gTvH4EmLYMRjedy+VjBa1d/x/3Lz7G2V+NeyLxrvSlYWimRSCX5uinJszN2rdZ8IyopKR1RBPs8ArBOb+DK7ddUq+BvtgyQg0XbzxASncDcwS3wdSsYa+Fdchrz952lyZQNrDpyiUBvFxb0bsbZ4AGsGtSG7vXKU66w578K6v+LEEWRF9Hv2HXlLsO2HaLW7HX8sPc4b94lMLh+FY6P7U3fOpXyDOqiKLL8/GWCT52jcWAAI+pUN7mfzmBg8ZWLFHFwpH6h3Jl/nCadu7GR1PDIrUkTnm7kvftYmRAT02ehkuU+vpws3hRFUilRohN1JhukcsHI5NLm4WqUZUhHQIJUKLiw1YfI1EUTnrKHh7GjuBhWk3MhZbgYWpc70X14Hj+P5Mx7BX4vmURJffdZeFpW5EL0PJ4n//7R9hyOu1xiwZbXM0nMMiZzUkHKwIB+OCocWPFi1XvP1HZetannUp6fXh/jatxDAMaVbEpxGw8m3vmFsPR4fK3smV+pOfcTIpl9+yQSQWBJ7aY4qSwZePo3kjIz+K5cBer6FWbOhXPcjzEtumYOn4MVIwAbgceiKC4uyGsSUzSIokixwq4M612Xa3fe8PN+oxeopaWSqZNakZysIXjeofc8drWVksnzOpCWlsns8XvR/Y3m2Kpndeq3CWLrshNcPJ6/AFipKkVYfmoingGuTO++mm3zD6H7RF9Bvd7ArTOPKFsr8JMdfgRBwMomf7kAefbUojaPWnRikvEBaGtrfoDpycsoUtMyqVzWL8/Pu/YohEMXHtKzWSWCiucvJiaKIgevPqT1zC3sOX+X+mUD2DuhO6sGtqFhuaKo/8VE6/8S0rO0vIlN4OrLUPZcvUfwobP03bSfmrPX0WrpVmb+dpr7oVG0q1ia7QM6cnxMbwY1qIqNKu8sMkuvZ/rvp1l54QrtvirJkjbNzNbxdz+8z+vEBEZXrWFyPuBc2GtEoK537mz/TYox6PhZmRAT02ViKc0dYHP6RgYT9XdFtr5LliF3U1+WvU0rmg/sOkMGMonFP5L7SMi4zpXwJjyNm0xCxlXsLSrjZzsEO4sgsvRxhKds50bkN9yI6EBEyl50hvxF9GQSJQ09gvGwLM/5qOBcwd1O4cy3hSaRqc/gpw847lYyK4YXHUqWQcuy5yvI1BuFwUYW60hhKw/mPt5OhOYdSqmchUGdjEnqzZ1o9Fk09gqkb2AVtr+8xW9vHuBgYcnKui2JTE1hzIVjCMDChk1wtFQx9OghkjML7lj2OUox1YHuwH1BEHJS3x9EUTxq7gWRccnsO32X9vXL0qpRGe4+DmfT7kt8VcyT8qV98Pd3ZeiQhixe8js/bf2T3t8adVj8/F0YObklwRP3sX7pCQaN/ssyTxAEhs5oS/jrWOaN3MmcLVaUqpi32YSzhz0LD41h+ahtbJt/iItHbjN8SXeKFdCk4vyvN4iLSqR2m/zdkEzBwlJJpiZvtkuOjMDfH2QfIiXZuOS1yYPqeO+x0easXEnzwdpgEFm5+zzuTjZ817JKnscFxuGc2bv/4PitZwQFeDKlc0N8XT4PLzk9S0tkYjLxqRoS0jUkpmlIyTAyZjRZWjK0OnQGw/ta+99hZMJk/5EY/875GYCAsSGrN4jZ9XdjjT5LpydTpyMtU0tKRiYpmgySNJmkZHz8pVIp5BR2tqd2YCGC/DypUMgLbwfbTwpU9yKimHz0FI+jY+lbtQKj6tbIJR2Qg6jUFOZdPE8VT28aFDZdp//15SM81TaUdspdR3+caGx0FrHNXXtP0mqwVeROCnKYXqaOSS4YM3ydQQd/ew7JPtxmBjqDBrnw6RPPKZmPuBc9AKXMjVLOS1DLi+W65jpDKpGp+wlP2cWTuEm8SliKv/0o3Kxa5+nUJJMoaeQxlxPh4zgXNQeAIjZN3m93U/nRzW8cW17PZOfbBfQsNAmpIMND5cFA//4sebaMta9+ZGjAIJRSBVNLfsvgm0uY9mATy8oPw9PSnjll2zP0+jZm3z/IzDLtGF26Lnfiwpl44ygl7F0JcvVkXMVazL52lo0Pb9CnVEWWf92czvv2MO7U8QJfp8/BivkTPo0SYqVSsmTnOUoUcqNEYTfG9G/I05fRTF96hE0Le+Bor6Z507I8eRzBtu2XKFbUjerVjH5/dRqV4unDcPbvuIKfvwtN2wS9f1+lhZzp63sxqtNqpg/YwsJdA/EtkrfIkFKlYMzq3lRvXo7V43YyvPFcGnWpTq9JrbHLgz4YF5nItvmH8A30oFrTf2ZDp7SQ58t2kWUH9rxKMSnZU6lWeQT2B08j8HSzy5MNc/rGc568jWFa3yYo82kihr9Lov+qfUTFpzC0RXW+bVDhH02ZarK0PImM5VF4DI8ionkZHU94QhLxaeZXMqocsS+pBJlEgkSQ8CEdXMTIoDGIIgbxL7qk3mBAFLMDVnYSmtNElQgCCpkUpcz43hZyGS42aoq4OmJtocTZRo2rjRUutlb4ONrhZmP9j6WN49LSWXH+Mjtv3cPZSs2q9i1oWCw3wyUHWXo9o04cQ2cwEFy/kcmHR2RaChci3jCkTBWTgfhBQiSelrbYK3MH8PjMNByVuXnvOSUYU41VWXYNXyfmDt45phV60fy9rRMzkX1iTVyjDeNOdB9kEhvKum7GQmb6uy2TWOFt0wMv6+4kZd7kRcICHsdNIDxlFwEOY7GzMD0bYHytBY0853MifCzno+aikKjxtfpLmbOwVWlaefZnf9gqDob/SGvPAQiCQBm70nT26ciOkF38Fn6INl6tcFc5MbFED364t46FT3YyqURPargUZWDRuqx+dpqv7H3o4FuJZVXb0OL4RgZf3MeBhr3pW6oiN6LDCb52jrLOHlRw92RstZqsuVFwL9kvohXj4WyDo60lE1YfZuv0btioLZg5ugX9xm9n6pJDLJ3aAZlUwvdDG/HyVQxz5x1h7WpnPLPpjH2GNuTtq1hWzT+KTyFnSpX9qxloY69m1qY+jOywkil9NrHkl6E4OOdPqarWtBxlagby0+xfOb7jIn/suUz15uVp3qs2paoWef9lykjLZN/qk+xZ8TsGnYGJm/rn2azNC3K5FF0eARuMgmkAep1pV3iAtGw/Uqs8tGqevIiiTAnz8gGiKPLz0ev4utnTuKppl58cRCek0G/lL6RoMtk4/BvKmPDwzAtv3yVw/ulrzj99w43XYWRlr0YcrSwp4upIvRL+eDnY4m5ng5O1JfaWKuzVKqwslFjIZP9nteLvR0Sx89Y9Dj98ilavp1uFsoyoU83kZGkODKLI6JPHuBwWyqKGX+NrZ1r/ffNDo7/BN0VK59omiiK33oVR3sn07z86I4lAW/dcP8/KbprmNFE/hESQZh9f7vtSKhj315sI+jnQiZmfVF8XRZHHcT9gEDMo777NbFD/EIIgYGdRgSC3nUSlHeRlwkJuRXXFy7ob/vZjzDZbZRIlDTyDORY2gj8iptDAYxY+Vn/1PYIc6hOXGcm52P3YyZ2p69oegEauDXibFsKvEQfxsvSkokMFghyK8V3h5vz46hC7Qv6gs28D+gTU5l5CGPMfHqW4jTul7b1ZWrU1Pc/tYPz1wyyv2oYFNb+m+W8/M/j0bxxp3ZPvygXROrAEzv2HFOh6fZHALpVImDOoOf3m7GbGhuMs+L4l/r7OjOnfkFkrjrFm6zmGflsXhULG1CltGDBwM1Nn7Gflsh5YWMiRyiRMmN2OYb02MHPcHlb81PcjsTBXT3umrevFmC5rmNJnI3O39sfKJv9ln9paxaC5nWnxXV2ObDnHqV2XOXfgOkqVHDtnG+ydbYgNTyAuKpEaLcvTe3JbPP6FfrlEKslXY1kQBAQBDCbKDTlISzcGdrUZKePE5HRi4lLy1Fq/9yKCJ2+iGdejfp6Zd3xKOv1X7iMxLYN1Q9pRyrdgsqtZOh1H7jxlz7V73AuNAqCwswOdq5ShQiEvSni64Gpj9R+TWP4SEEWRF+/iOP/yLUcePeVBZDQquYyWpQLpXSWIwibMM/7++mln/+Dws6eMq16TNsVNsyKSMjPY9uQ2zQsVw8cmd+B/nRJPlCaFaq5+ubZpdFnEZ6XhaZm7hJaRrRFjYbL+nn2MJgbzChLY9YYspELB+y/v0v8gMeMqxRxnoJabZgyZgyBIcLdqjYtlY14lLiE0+ScSMq5SwmkB1krTA3cKiSVNPBdyLGwkpyIn09B9Nt5Wf1GtG7p1JUkbx6noHdgpHClnX9fovVyoB1EZUax/tREXpTO+al++8a7Li9RwNr8+SoC1FxUdApldth1d/lzLqFu72FVjINVc/Rhdug7z752hvKMXvYpVYk29VrQ9vI3hZ4/wU+P2OFkWTDYavqAIWCl/d4Z2qMX52y/ZduwGAE3qlKRtk7LsPnSTM5eNqnJurrb8MKElr1/HsmDR0fdjtdY2KqYt7ERWppbpY3aT8bdadZFSXkxc0Z23z6OZ2ndTvqP7H8K7iBsDZndk2/15jF7Vi+a961KycgCW1hYULuXFwsNjmLRpwL8K6u9RgKkbqVSSSwztQ+TIDahUpr8or7IpmQG+5pk7v569j1qloGl185QqrV7P6I2HiUpIYeWA1gUK6lk6PZvP36DBvI1M2neC1IwsxjStxe9jenFoZE/GNqtNvRL+uNla/58P6ikZmVx7G8bmq7cY/dsxaq/YQLP1W5n3x3l0egNTGtflz+/7MatZw3yDukarZfTJ39l2/y79ylegf1Als/uuunuFNK2WgV+Z7oucjXwBQHXX3L2j0HRjU9XLRGBP1xsTBpX00xrgOdl8XpICBjELqVBwhlRk6j4UUhfcrdp90rF8CKlERRGHHyjjuhGtIZEbke15m7Te7Ki+UmrN116LsVcU4lTkJKI0fzFtcjjuha1KcyBsDa9TjewXhUTO90WGYCVTs/T5ChKzkoyCh8U64Kd2I/jRViI177BVWLIoqDNJWemMubUbrUFPv8CqNPQsyty7f3AjNpRSTq5Mr9qACxFvWH7n0ied6xfJ2ONT0hFFkU6NynHvRQSr9v5JoJ8rFUv4MPTbujx9Fc2clb/j7+OMj6cDlSoWpk/vOvy48SyFCzm/H17yKeTM+FntmDZqF8ET9zFlQceP2CkVawcybnEXgodtY8bAn5i2vhcKZcFP2cJSSYOOpqf/Pgd0Oj3yAgzECBLBJDMhBxqNFolEMKvXHhJhHDP38TQdTDIytZy5+Zz6FYvmSUfcePwat16GM7tHE8r5529ndvHZW+YcOsObdwlUK+LLd7UqUNnf+78SwEVRzG6uGpujIqLJZ+iHhyKKOZxo42u1ej1ZemNDNV2rJT1LS1pWFomaDOLS0olP1xCdkkpoYhKhiUkkfCDU5GKlpryXBzUK+1KjsC8etgUfnX8a945hxw7zLD6OEVWqMaSi+Ub2g3fRbHhwnQ5FS1PC0XSicTT0MSXsXE1SHV+kGGl0AdauubalaI3MDxtZ7r5MTglGYqL+nsOmyUtmQ4+uwIFdZ0glXvMnnjadkQj/PmQ5qmpQ2eMwT+Om8TJhESmZjynuNAepJPeqXim1ponnQg6HDuZE+Diaea94r+cuk8jp4jOGtS8nsP3tPAYGzMNR6Y6dwpbhRb5n1uNgVr5YzfjAMaikSqaV6s2Qm0uYmt1MDbR1Z0rpVky8u4/lT04wqsTXLKjUglYnN/H95f0cbNSHTkW/4kZ0OMtuX6KcS8FLnl8ksEclpPDTHzf5tkEFJvVuxKvwd0xac4Sfp3fD1cGamaNb0nv0z/ww/1fWz+2GpUpBp46Vef0mlk1bzuPv70KVysaLW7lGUQaOasKqBcfYsPwk/Uc0/uizajQpzfA537B4/B7mj9rJhKVdkH5m1/p/Cm2W7n1zNC9IJJL30gWmkJGpxcJCbjZghkbEo1TIcHE03Wu4fP8N6RlaGuehA/MmOp4Nx6/xdYVAmlXMWy8mU6tj9qEz7Lv+AF9HO9b0bE2twIIxjUxBFEUiklMISUgkMimF8KRkolNSSdRkkKjJICkjg7TMLNK1RrZMpk5nckT+c8NCJsPZSo23vS0Ni/rjbW9LoIszJdxccLb69MGbdK2W9Tevs/bGNayVSn5q1Y6avn5m90/JyuT7s4dwsLBkUqW6JvcJSU3gdlw4I0vXNrn9WXIUMkGKrzq3XERSdmC3lucuAeQ0ViUmFv05wV40UX/PgUHUIi9g8zROcx4DWThbNs5/5wJCLrWjpPMSrJNL8jJhEWmRzynlvAy1IjfjSCWzp4nXYg6FDuJY2Eiae6/ETuGTvc2KHn4TWftiHD+9nkX/gGDUMht81T70KdSL1S/X8fPbbfTy64mHyokfSnRn4r31LHiyk8kletLMqyz3EsPY+voSpe29aeReitXV29H21BaGXT7AT7W7MKtaQx7GRTPs7OECn98XCew2lhasOPQnpXzdqFDEi7lDWvDt9B1MXH2EteO/wcXRmhkjWzBixl5mLj/K7DGtkEgE7Swo+wAAIABJREFURo1owpu375gdfIg1K3vi5WXMQFt2qERYSBz7d1zB29eJpm2DPvq8hu0qkJqsYf2cQ8wbuZOxizoXKKD+p5GemonKKv8GktFlyHyg0mbpUOaRaUfFJOPuYmO26Xj5/hvUFgrKFzWfhS/+9TxKhYwxbU0HiBzEpabz/daD3AmJpE/tigxuUAWF7NNus9jUNK6FhHEjJJzH0bE8i31HaubHpTQntbGpaqeywNvOFiulApVcbpQjkBoZM/Js6QCJICAgZGfnH16Dv65pjp2cJFswTCJIUMikKKRS5FIpaoUclVyOWiHHzlKFo6VlvpOkBUVKZibb7t9h0+2bxGk0tCwWyMSadXC2NP9wMIgio84f5U1yAtu/7oit0nSQ3PnyNlJBoK1fbsEwgPuJYQTauptskMZnJSMTpNjKTUyrZtfP5ZLc16AgGbtB1CMUMPtO0FxBKlhhoyxToP0LCkEQ8LXti7WiBA9jR3Mj8htKu6zCQZV7lW4td6Op1xIOhw7laNhwWnqveW+z56h0o5vfBDa9msa2N8F8V3gGMomcyo6VCE0P41DkEbxUXjRya0AFh0D6FG7B+lcH2RN6mo4+9RldogmPkyKYevcAAVYuBNq5Mivoa8ZcO8Si+2cZV6Yea+q1Yu/zBxR07OrLsGIcbPB2smPc5iPsGteVQh6OTOrdiIlrjrBs93lGda1L+dI+DO5Zh+Wbz/DTL5fp1aEaSqWcGdPaMmDQFiZN2cfK5d3fM0H6D29M2Ns4Vs4/ipunPeUrf9xgadOrJqIo8mPwYfQ6AxOWdf3iwT09JQPLArgumTMnzkFWli5P27zI2GRc86BuXn34lgolvJGZWclcfx7K+QevGd6qJg7W5hs4Mcmp9Fy/l+ikFJZ0bU6jUuYVN/+OsMQkDtx7xImnL3gaY+wJqBUKirs607JUcYo5O1LI0QEPW2vcrK0++WHxvwadwcDV8FCOvXjOwaePSc3KoravH0MqVTHpY/ohRFFk/o3zHH/7nCmV61HV3bRERKo2k72v7lDfoyjulrl//1qDjoeJ4bTxCTLxaniXmYSDwsZkuSVHZkBmMjj/1Vo1B4OoQ/J3ArwZJGZcw86iwmcpw5iCg6o6FT0OcDe6L3ej+xLoOAN367a59rNT+PK112KOhA7l9/BRNPdehYXUSNrwVQfS3vt7doUs5NfwNbTzGmr0U/VqTbgmnB0hu3BXuVHathTtvevwNCWETa+OUMTKi/IOxVgQ1InOF1Yz8uZOtlXvT9tCX3EnLpz1Ty5T1tGDxl6BjK1Qi3EFPKcv0jyVSAQW9mlOWmYW4zYfRavX07ByMTo3Ls/uk7c5etEoDPlNs/I0rl2CTXsucfmmUavdzdWW6VPaEBGZwIxZv71vKkplEiYGt8fbz4kZY3fz3ITtXNvetRgwqSWXTj5gwZhdeZp0/KeRkZ5FZoYW2wKJkOVdk87S6lHkEdjj4lPNlmFiElKIfJdM+WLmB5c2n7yOo7UlnWub5+u/S0mj94ZfeJeSxsY+7QsU1HUGA4cfPqHHtl+ot2oTKy9cwdbCgtF1a/BLr85cHzWQHT06MK1JPToHlaGKnzc+9nb/J4O6KIq8Sohn76MHjDn5O5U3rKH7gV848Pgh9QoV5kDHrmxu1S7foK43GJh8+RRr7l2lW2BZepc0HZQBfnxyhYQsDQOKm+4T3YkPIcOgpbKTaZZJpCYONwszfRlDBgLC+wnUv51t9t/m71sRQ57DQjnQGVJJ173GRml6xfG5YCFzo7zbduwsKvA4bgIv4heYLCU5KgNo6DGHFG0kx8PHojX81VcpbVeN+q6duJ1wlvOxRmUViSChn38fvFSerHmxjpiMWOP0abFO+Fi6MuvRz0Rq4nC1sGFB+U6Epscz6e4+RFFkYrmGlHHwYOy1w7xOyW0qnhe+GCsmwN2JyZ0acOtlOMt+M7okDe1Qi6BAL4K3nOTJm2gEQWBM/4YE+LkwfdkRwiKNTcAyZXwY/n1jbtx8zao1fxltqK0smL28K9Y2KiYN205UeG5PxlY9a9BnfDPOH7lL8PAd+aom/qeQo+po55h7MCQ38q4X6/UGs30Dvd5AQnI6jmYGk+6/MD4AyxQx3Zh5Fh7Lpcdv6VKnnFlTZp3ewLDth4hMTGHtt60p55t3k0cURU49fUmzdT8z8tdjRCQnM7x2Nc4M+Y5t3b+hX7WKfOXhZtIU4n8ZBlEkNj2NhzHR/PH6JVvu3GLymVN03b+XShvW0GDrZsadOs6pVy+p6evHmmYtudF3EEsbN6OMa/4Mo/iMdHqf3M/Wx7fpX7oSM6s1NNtXiUhLYuPTqzTzLkEZR9MPiz9jnyMTpFR0NB3YIzTv8FCZ9iTN0GdgITUtCZBTgslLyloUDQgFyNhTsz1XrRX/WdNrALnUhjKuP+Jp3YmQ5A08fjcegwnKprtlOeq6T+VdxhP+iJj00SBWXZdvKGNXkxNR27mfaGSyqKQqvi9i5J8ve76SDH0GKpmxmSoiMu3BJjT6TIIc/RhRvDFno5+w5dWF9+YcMkHC4Iv70OjyHmb8EF8k9XkdG09imoZmFYvz4G0U287corSvG42DijF7UHN6TNvGuJWH+HlaV2ytVMwe05I+Y7cxfu6vrAvugtpSSdOvy/D27Tv27ruOf2FXmjU11t+cXGyYvaIbI77byKThO1iysTfWf+Owt/uuNhKJwPo5h5maomHyqh4FKol8TsRkM1WcPUwPnHyInPqvOeh0euQy00EwOTUDg0HE3oyOzNO3MUilEgK8TX+BD1x+gEImpX118xnT+rPXuPM2kvkdvyaoUN4eqm/jE5l87BRX3oTi7+TAynYtaFDM3+wo/acgXaslOi2VuPR0kjMzSc7MJCUrk0ydjgydjky9zijraxDRiwZ0BkP2lGruB6coiu+3iRgzZZ1olC/I0uvfv59GqzV+Vpbx8/7OXrJWKPG3d6COX2HKu3sQ5O5BgIPjJ5/v2bBXjLvwO/EZGuZUb0TXQPOrJ1EUGX/9CIIAY8uYbqqKosipyIdUdCyEWpa7z5OsTSNBm4K3pWmmTbpOg1pq+p7KuZ55ZeQiBpMlnlyfozWu1NVy85O5nxMSQU5Rh2kopW68SlyKTkyjpNNipJKPr5GfVS1quI7lQvRczkcFU8dtcvbMiUAbr8EkZMXwS+gy7BTOeFsWwcXCmUEBA1j4dAk/vtrI4ICBeFo6M6F4dybd/5GlT/cwvng3uvpV5V5CKCuenKKkrReVnAqzpEorep/fxaQbZlVacuGLBHZNlo6xu4+x5tvWjGxdi0ch0UzbcRJ/D0cC3J2YO7gF/ebsZsq6Yywe0RoPVztmjW7JiBl7mb70CHPHt0EiEejXty5v3r5j6fLjeHjYUa6sUdXOx8+JaQs6MWHIVqaP3s3s5V3fG1bkoE2vWljbqVkyYS/je6xn1sbvsPlMrkoFQVSocWnl7p2/eUV+llh6vWh2+jUpxbhUtDFjg/csJIZC7g4oTGTjOr2B47eeUbt0YWzVph98D8KiWHv6Cs3LBtKsbN4Tq0cfPWXikZNIJRKmNK5Lx3KlP9m4IqekcS86mufxcbxKiOd1YgKRqSmkZuU9qyAVBBRSKVKJBKkgQSr81VAVhNwZZs7PBEAmzX6NREAplWEhMzZpndRq/B0csVEqsVEqcbZU42plhavaCk8bG5xUlv+K3vk4PoYFNy7wR+hL/G0d2NiwHaWcclMTP8S2Fze5GP2amUFN8FKbThzuJ4YRrkmgbxHTzfDXqcaVXCEr06uvNH0aahM0SDA2RsE0Y+YviBREiUSjC0FAjlKWezL2PwVBEPCzG4hMYs2z+Jnci+lPaZeVyCQfr66L2TYjXRfHzbgfsZZ7UMGpDwByiYJufuNZ83wc29/MY1CR+djIHShlW5JOPh3YGbL7vexAJcfi9PRrwpY3xyhu40trr1pM+6o1L1KiGXd7DztrDKSWuz/DStVi09NrBT6HLxLY3e2sufj8LetOX2VQg6os+K45nedtZ/SGw2wb3ZlS/u6M7laPuT+dYt3+SwxqX4PypX0Y9l09Fv/4B5t2X6RP5xpIpRImT2zF0OHbmDbjACuWdccnO1CWLu/L6GmtmTtpH3N++IUp8zsi/VtW26BNENa2KmYP3cbYrmuZvr4Xrl7/HR/PkJcxyBUynN3zN+gQDWKeY/SiKL636Ps7UrPlBqzNrEheR8RTOsD0l+b+m0jiU9JpWK6o2c+dc/As9moVE1uazgxz9ltz8RpLz12ivJc7S9o0w92m4M454cnJHH/5nMthIdyKjCAhw6iNI5dI8LW1o5C9PdW9fXBRGwOqg0qFrYUFNkol1golKrkcZTa75f8CdAYD58JesevpPU6EvMBGoWRCxdr0LlkBRT7ncD02hDl3TlHLrTCd/c272u96cwVLqYL6bqZNV56lhgIQYGW6jJOsTcZKZrqMaMA8x/1TkaGLQClz/Y81TvOCl003pBIrnrz7gTtRvSjrtjlXcC/r0J0UbQR34n9CLXOiuF1rANQyW7r5jWfdyx/Y9mYuff1nIpcoaezakND0MH6NOIiv2ofy9uXo7NuAJykhrH35GwFWXpSyK8yioM50u7iO0bd2sanKdwwuUYNvCpXBndEFOvYvUsS0V6toVb4Eq09f4cLTN7jYWjGvVzNC3yUyZZvRtLVt3a9oXbs0Ww5f49S1ZwC0aVyWZvVKseWXK5y7+hww6qPMmdkeqVTCD5P2kpT0l/FunUalGDymKVcuPGPxrIMmx/cr1yvBzI29iYtOZli7FTy69ea/cg1eP47Et4hrgTj1BoP5jDxnu9RMYH8vN2BiKjVLqyM6LgUfV9OKjBcevkYmkVA1MLe+N8DRu0+5GxrJ8EY1zMrTiqLIlGN/sPTcJVqWCuTnru0LFNSTMjJYf/M6rXZto+aWH5l14SyvEhKoX9if4PqNON71Wx4M/J4T3XuxrnlrptSux4AKlWhTvAS1/QpR1s2dwvYOOKvVWCkU//NBPUOn43JkCLOvnaHKrjX0PrmfGzHhDC1blT879GfAV5XzDep348Lpc343Xmo7llRpbXalEK1J4kTkA9r4BGEtN/17e5z8FjcLB+wVpn9XSdok7OSmVwM5UgLSzxCMM/WxKKWf5nXwOeFu1ZpSLstJyXrE3eg+6Awfm9YLgkAN19F4q6txKWYJb1LOv9/mpvKjg/dwIjQv2R+6ypiACQI9/bpTSO3H+lcbidJEIREkjC/eFTcLR2Y83MK7zEQKWTkz46s2PEgMY8GjY0gEATcTzCZz+GLdqcmt6lHE1Ylxu48RnpBEhSJeDG9Vk9P3XrD55HUARnerS+kAd2ZuPM7L8HdGneO+DShexI1Zy4/y/I1RitTd3Y6Z09sRG5vC9Jm/fiRx2+KbivToX4dTR+6yeVVuR3KAMlUCWLJ3MGprCyb0WM+lkw/+o+duMBh4/jCMgJL5T2+Csb4rkeadsWPmS6zJVo9UmdBFj4pLwSCKeDibXjVcfRrCV4XcsVblrsEaDCJrTl+hmLszrcqbb2ytvXSd3bfv069aRRa0bJIvoyUmLZW5f56jxub1zL14HkEQGFutJqd79OaPHr2Z36AJHUuWpoij4/98sDYHvcHAi8Q4jrx+wsKbF+hybDdfbVtOp6O72PjgBmWd3Vlfvw1XOw1idFBNsxz1D3E64jldz2zHXmnJz3W6YKc0r420/sVZALr4mWbLiKLIg8RXlLDxM7ndIBpI1CZhpzB93+Q0Ez9HYNfq41FITfd//ltwtmxASedFJGfe4050H3SGj41+JIKM+u7TcbYozpmoGcRmPHm/rbhtJRq5deVe0p+cidkLGGUHhgYMQiZIWfZ8JRq9BrVMxbRSvdDoM5n58Ce0Bh313UvSo3B19oZc40j43U865i9SiknLykKlkLO0a3M6rNzBiO2H2dq/I93qlufB2yhWHr5ECR9XqgT6MndwC7pP3ca4FYfYMqULVpZKgse1pu/YbYwPPsCP87rhYKemZAlPRo/8muB5h1m05HfGjm76PmPp8l0t4t6lsOfni1jZWNCxZ41cx+RV2IXFe4Ywtd9mZg/ZSrfvG9FxYN1/rNyYF94+iyY1SUPJCvlPY4qiiEEvfrKRRw4ysw06LExIKcQkGG9QV4fcWZkmU8uTsBi+bWBaa/7KyxBexyYwt0MTs2Wik09fsOTsRVqUDGRUnep51prTtVqWX73Elru30RkMNCtSjAEVKlHc6T+TrRlEEY1Oi9ZglA3QGgzoRcN7SYG/r+1MjTWJoogBjN6qBgNagwGNTkuGTku6TktKViYJmRkkZGiIz0gnPC2ZiNQUItOS0RpyyhUCxeyd6BZYhmoevlRy88ZGUXDVQ4Mo8tPz68y5c4oSdq5sqNkRZ5V5ptXLlBgOhNyko19lk8JfAK/TIknQplDO3nQJLkmbhF7U46gwXbbM0WGXmaRCfhp0hmRkkoJnqv8puKibAAIPY0dyO6oX5dy2fFSWkUksaOgRzG8h/TgZPp5WPj+ilhvv3ZrObYjOCOV09G48VIUJtKmAo9KRwQEDmf9kEetfbmBokcH4qd0ZHdiJWY9+5seXhxhUpA3fF2vIw8RwZt7/jWI2BRPcgy/FiolL4MSTFzQKDCC4QxOGbj3I7ENnmNG2IVO7NORFZBzjtxxl59iuuDvYMGdwcwbP/4XJ646yaFhrnOytCB7fmsGTdjFp4UGWTe2AXC6lYYNShEck8PPWi3i429G9m1FqUxAEBo9pSnpqFptW/oGlWkmL9rkDlq2Dmrlb+7Hsh1/4eelxntwNYeyiTqjNNB7/KW5fMpaRSlfKX6UuR0ogr8AuCAKiGZXIrGxXKFMDTO8SjCPjLva5A8Gj0Gj0BpEyhUzX3/deu4+9WkXj0qb56pHJKYw7dJzS7q7MbmaelgfwICaaYb8f4XViAu2Kl2Rwxcr42f0zw440bRavkuIJSUkkJDmJsNQkYjVpxGcH1+SsTFK1WZ9EHfu3UEplOFqo8LCyoayzO80KFSPAzpFi9k4UsXPEwoQtXUHwKCGKKTd/53ZcOA08irC4SmvUcvPB1CAaCH5wGEuZkn5F6pjd71r8YwCC7IuZ3P4uMw4AR6Xpxr9WNDax5XlqwQiImJccyIHOkJqrrv2l4KJujERYwf2YodyLHkgZ1x8/kv5Vyexp5DmXQyEDORExjmbeK1FIjM3z1l4DiMkMZU/IUgYGzMXZwoviNoF09unI9pCdHIo4QivPFtR2KcfDpDccCD9PCVs/6riUY265DnT+0zi8VFB8kcCukssZf/g4RV2M2tt961Tkx7PXKefrQZugkizu04IuC3YwZtMRNg77hvLFvBjZuQ4Ltp1m/YFLDGhXnUB/N8YPasz0pUdYtuk0o/s3BKBn9xpERSWx+acLeHjYUb+esTkklUoYPa0VGk0Wq+YfxcragrqNc2tXW6gUjF3cmRJBfqybfZDh7VcyeVUPfALyZiJ8Ci6dfEChQHdcPfMPXtrsslJeU7KSPETCdNk67jITZYuEbMaMvU1u2trzcOP0Z6B3brpbWmYW5568ol3F0iZLK6IoMunISQwGkSVtmmJhhv8uiiKb79xi3sXzOKos2dbmG6p55220/ffXP0mI5WLEW+69i+LBu2heJcV/lG3bKS1wURkbqoEOztgqLFDLFajlclQyOUqpDLlEgkwiNZp25DBkPngQfchKyuFy5GyXICCTSN6/h0omw0Imx1Imx1qhxE5pYdJP9N8gKj2ZtY8vsf3lLewUKuZVak47v6/yZd/sfnONG/GvmVK6FfYK8wywczG3CbT2xdnCdA09KsMou+xmYTqDzPE6zUsLRkCSL9sLjCqQkn/oi/qfgJNlPYo7zePRu9E8iB1OaZcVSD54gDko/annMYMT4eM5HTGVRp7BSAQZcomSrr7jWP18DNvezGVAkXmopGoautbnVdprDoT/hr9VYUrZlqSvfwuepYSy6Mku/NRu+KndmVeuIz+9+rPAx/lFAruPvS0yiYSh+w6z99vODGlQjXuhUcz89Q+Ke7gQ6O7MzG6NGbnhEHP3nmFql4a0r1+GpyExbDp0lWK+LtStUISGNYvz/E0MO369TmFfJ9o2KZdtiN2E6Ogk5i88iqurLaVKGrnVMpmUiXPaM3HYdhZM/RVLtZLKNXIvNwVBoEW3avgWcWXO99sY0moZ341tSovu1f51aeZdVBKPbr6ly5D6Bdo/x4gjL8kAiUTAYDCd/eT83FS5JClVg0QQsDJRQ38e+Q5bSwucbXIHgHNPXpOp09PkK9NL9VPPXnLh1VsmN6qLj73p4CCKIgsu/cnam9doWNifufUbY6/Kf2UkiiI3osPZ/+Ihp0NfEpVubGZ5qK0p5ehKK//iFLN3xtfGDm8rW6w+oazxvwyDKHI55g07X9ziZPgzDIh08S/PyNK1sVXkf92uvnvJose/U8O5KG28zU+rvk2L4kVqOAP8W5ndJzIjGqkgxUlhOmPPMuSwlsxfe0GQIJL35LdxhkCLwOd5MGp1oaRrjiGR2CCVOCGVOqOQByJ84oPDzao5ekMKT+On8fjdeEo4zUcQ/vp+equrUM1lBBdjFnLt3VqqOBuHk+wUznTxG8vGl1PZE7KE7n4TkAhSevn1ICQ9hLUv1zO95BQclY5MKtmTQTcWMf3BZlYGjSTI0Y8gRz9W0L1Ax/hFmqdyqZSFrb7mWcw7pv9+GplUwoJOTbG1tGD4tkMkaTKoVyaA7xpV4sDlB+y/dN/YROtej1KF3Zi+4XdeRxiXg/271KRaUGGWbTzN9btvAVAoZEyf2hYXZxsmT91HaNhf47gKpYxpCztRqIgrM8fu4fqlF2aP86vK/qw+PJJy1QJYO+sgk3pvJC466V+d++EdlxFFkXqtzFPRPkSOibXcTNYL+eu1g+nealpGFpYWCpNBPzQ2EV8Xe5NZ4MXnb7BVWVDWJ3eZRhRFVl24iq+9HZ2DzA81rbp+lbU3r9G51FesadYq36CenJXJlke3aLR/M+2P7OC3V48o7+LJgppfc6XTQC53GsiPDdsyrFx1mvgVpbiDy//5oJ6UpeFo6GPGXD1Eld+W0ePsDi7HvKVnkYqcbjqI6UFNChTUHySGMeLGDvysHJlTrn2emf3B8IvIBSn1Xc3bx4Wlh+Fu4YbMhHAY/BXYlSZkcHNgzNjzL8Xk7P1voNfHEpcwkfCo6iQkTSUuYQQxcd2JjGlCaGR54hNnodW9+aT39LTpjL/9KKLTDvMsflau1Udxu1aUsGvHg4TdHxlj+6lL0NyzD89SbnEm5hcAlFIl3wcMRifqWfFiNVkGLU5KWyaW7EGE5h1Ln+4p0OrmQ3wxVkwtfz8G1ajMvnsP+eXOAxytLFncpTmRiSlM2PM7BoPIoGZVqRLoQ/DeMzwMiUIhlxE8pAVKuYwxyw+Smp6JVCph2ojm+Ho5MnnRQUKzJzptbFTMndMBQRAYP2E3CQl/OZWrrZQEr+yOb2Fnpo/Zxa2rr8wep4OzNdPW92LI9DY8uvmGAU0Xc2DzhXwt7UzhxcMw9m04R53mZfHwLVinP8frVK4wn7FLpZI8rfPAtJ9HekYWlhams6Gwd0l4OuVmPYiiyJUXIVQJ8DbptHT+5RseRccwoHols5IA2+/fZfGVi7QJLMHMug3ynMLUGwxseXSL6rvXMvXyKSxkMubVaMKNzoNZU78VHYqWxl1dcE78/xpEUSQ+M517cREcCXnE6kcXGXppP/WOrKb8gcUMvbSfPyKeUc3VjyVVWnOp5ff8UK4B3lb5TywDPE6KYMi1rdgr1Kyu1BMbuflgm6rVcDL6OnVcymGnMF/XDtWE4m1pXlsoU28s8Sml5ksxEkGKIZ+M/a8H0D+XYE5LP0xYVGVS0n7CSt0RT7fLeLpdxc35MM4O67FQViE5dS3hUVWJftf9kwK8r20/fGx6E56yg9Dkzbm2V3EegruqPH9GLyBG8+j9zys5NKKcfV3ORO/hafItANxUbvQr/B2v096w7e0OAMrYBfBtoaacjb3NoYiLn3TeX6Z5mphAcmYmQ2pW4VZYBNOPn6akuyvlfD0Y26wWcw6dZeP56/StU4ngnk3pMn87ozceYefYLrg6WBM8pAWD5//ClHXHWDisFZYqBXPHt6bvuO1MmPcr6+d2xVKlwNPTntkz2zNy9A4mT93HogWd38vb2tiqCF7Vg7EDtjB9zC7mrupB8dKmx+EFQaBZl6qUqRrAmhm/sX7OIY7tukq/iS2oUMt0g+nviI1MZGq/zTg4W9N/UssCX6scs2tFHrK8Mpn0fS3978gpHZni8Gdp9SZNq0VRJCYpFXf73AEzOjmVqKRUevuZvla7bt3DSW1Jy1Kmp1DvRkUy/dxp6vgVYl6DxnkG9VsxEUy6dIKHcTHU8PBlbIValHH+dxOIBlEkLiONKE0K7zLSSNFmkJyVQbI2kwy9lky93ig9YNBjEA3oRRHDB9onAkYmiyAISAUBCcL7/xvr89mStdmvy5EiMDJmstDotWh0WhKzMkjITCchK/09QyYH3mo7itu50r5QGSo5+1DW0fOTdXNEUeRQ+B2CHxzGTmHJ2srf4mKRN7vkl7CzaPSZtPWqY3afxKxE4rMS8FObnm0AyDAYkyilxLwSqAQZYh4OSzkQkCPyz/Sc9IYk4hLGIJcVw9lhFfIPLPXkMh8gCLVlC3T6KFLTdpCUsoaIqLrY2YzCxro/QgGMQPztx5Chi+BFwjyUUldcrZr9dY6CjPoe0/n1bT9ORfzwnikjCAItPfsRqXnNntAlDApYgKPSjfL25Wjm3pQjkUcJtC5GNacqdPSpx4OkV6x98SvFrAvef/pidMfxp46zqmkLFrduSqsN2/h+32H29+5Cl6pluf02guUnLlHGx51Khb1Z8F1zei3dw/gtR1k1sA3li3kxqksd5m89zY+/XqJ/2+p4uNoxY1QLRs7Yy7SbCareAAAgAElEQVQlhwke1xqpVELxQI//x955h0dRfm//M9t7NpveQxICKfTeq4CAgqAogiIiKhZEUJEOolItYEfwJ02sYAFEKQoISFM6JJAQSO892b7vH5sENtk09fv1fX/Xe19XLsLOMzPPTHbOnOec+9yHObNHsviVb1mxahfz546qCT3oPJS8/s5DzJz6CfOmb+H1dybSOr5+rZPgFj68+skUTvxymXWv/8CCKRuIjA1k+APdGTiqI4r6eo7ml7Fw6icYKyy8+eXUJgp/OWEyOQ27oh7PGpzxd0s9K4jqZthWW93tFqsNiRu2TUmFCavNjpebpOqFNGfHnTbBdZPJOaVl/HrtOo927+SWY26yWnlh7x58VGreHjq8XmPlcDh47+zvrD59GD+VhvcH3s3w8FbNKs13OByklBXyR14aCcU5XCvJI7kkn8yKEqz1hAAEQCGWohBLkFTJDlRruYNT3KpaP8ZeZbjtDsctI15rWSQWBMRCVWJVEKOUSFGKnUnbUI2edl6BGOQqvBVqQtR6gtUeBKv1aKR/L4RUaC5n5cXd/Jhxjk6GcJZ1uK9Ro15kLmN72kH6+LQjSlt/fUVSuXN1G6Wp25CiGkZbBRJBhrQBuqMgiLE3wWCLBBl2h6nRce5QUvoxdkcRXp4rXYx6bUjE/uh1M9Gox1NQOI/Cktcoq9yBj+EDZFL3eaRqCIKIGO+VmLPzuZQ3G6nY4KLnrhDrq5gyT7Ivcx4jg99FLJIhE8mZEPYS7117kc9urOCJqOXIRHLGBo/matlVPk3ZRLg6jEBlALNjJjDt1Bu8emljk6/9XzHsfhoNe5KusvncGR5u14G3x4zgoc1fMW/XXtaMGcGSMXdwJTOXF7bt5ptnJxAf5s+c+wbwyrZ9fLD7GM+M7MXYge24ciOHDd8fJ6aFP307RNKpTSgzpgzijY/38eGWQzw9qT8Affu05vGpA1j38S/4+XnwxNRb5e8Gbw0rP5jES9M2MueZLSx7t2HjLggC3QbG0rF3ND99dZIfvzjOOwu388mq3XQfHEd4tD9hLf3w9NZw+c+bnD12jbO/J2ExW1n00SOEtWw6FxVueey1tW5uh0wmqaE11oa0qrLVneF3ONxLFRSVO5fSenXdZXtiZi6CANEBdfnl+xKTsDkc3NPGfcHSlvNnSSos4JO7x6Crp+jGZrez8Ng+tlw5w90RMSzrNaTJsfISs5Gf0xM4mJnEydyb5BqdnqNMJCZS50VbQyAjQ2PxU2rxVWrwVWjxkCnQyeRopQpkIvH/031XyyxGvr55ik+TDlNmNfJU9ECmRPVD3ITS/vXJP2C2W5gUfmeD4xJKEpEKUsJU9XuPFdZSlOKGnRexIHWrnFh3nBKbvaLRcbXhcDgor/gKhbw/clld9ps7SMQB+Hp/QnnlbvILZ5OZMxIfrw9RKQY2PEeRnDa+7/FH1oNcyJ1O54CvUUlvrWgM8gj6+s9lf+YCjue+R0+/56s+92dcyPNsTnmNnenrGRPyNGJBzLTIJ1h4YQnvXnufRbHz0UnVzI+bxNepvzT5+v8Vw+6jUtMuPILXDv9Ke/8AOocEMXNAL1Yd+I3Np87wcJcOvPXgSMa/v41Z23bzyWP3MqZnG86nZLH+pxO0CfOnX5tIXpw4kMSbuSxa9yOfLnyQsAAD9wxrz/XUPLZ9f4oWId4MHxgPwP33dSU7u5gvvjyOwaDmvrG3mgP7+nuw6sNHePHJT53G/b2HaN1IVahUJmHkhB6MeLA7l/64wQ+bj/DH4QT27zjtMs43yJOeQ+K5a2LPJlea3o7qRtUKZUOGXYypHvlheVVhUnWhUm24i72XGZ0eksZNter1vEIC9Tq3FMb9icmEeeqJ9K5buFJsNPLuid/pExpG/3D3hVlmm43nft3J7pQEnmzTlZe79GvU0NodDvamJ7A95TyHMpMw2234K7X08A2ni08onX1CiNR6uc0H/G9BekUh22+e4ssbJyi1GunmHcmLsXe67WPqDkfzzvNT1gnuDxlImLrhfS6UXKSlNspt56RqlNtKUEsaXiGIBSmmWhWc7iARaepUejYFFmsiVttNdNqnmr2vWjkcubQt2fmPkJP3EJ4eC9FpHm/wuygVe9DW90NOZt7L+Zyn6BTwhQv/voW2P22MD3C+8HN8lXFE6YYA0ErXkX6+Y/k152taaOLo4Nkfg8yTJyOnsjrhLTambGFqxKPE6MJYEPcIC5ncpGv41zoWrL5jGCO3bWb6jzv5fvxDTOnemVM301mx7xDtgwJoG+jP4nsGM/vLPazde4SZw/rw8n0DSEjLYf7mn9j20oMEe+tZ+exdTFq8lRfXfs8nC8ejUcqZPnkAN9ILWPXRXsKCvYiLDkAQBJ55ajCFheV8+NEBAvz19O51a5nl46dzeu5PbmTes1tY/t5DtIxpvHmsIAjEdQonrlM4ACWF5dxMyiE/u5joNiH4hxj+lhdYWVlt2Otf1irkUkwmS40Whcu2qvZtlaa6BTkikcht7L2iaqxKXvecqfnFhHrVTdyZbTZO3Ezl/g5t3F7vlvNnKTYZmd2rb73XseDoXnanJDC/6wCmtnFf8VoNh8PBz+kJrLlwmITiHHwVGiZEdWJkaCztDIH/T3vejcFit5FQksmh7AR+zb5MYmk2AgKD/GN4JLIP8fqGpZNvx/WyDFZc3kpLTTAPt2jYW8825pBemUFfnz4NjquwNm7YRYIMm71hNU4AicgDi72k0XG1YTI5ZUmUioZbOdZ7XkkwAT7fkVfwLIXFi7FYruDludqF1lgbSmkI8T5vczZ7ChdzX6Ct73su47t4P0Gu8TKHs1fiKY+oaYo90O9+Usov8V3aRwQpo/BVBBPvEceowLv4NuN7YnWt6e3Tq1nz/1fcGLPdhqdSydo7R5BeWsLc/T8jACvuHoaPRs2M7bsorjQyskMM47q2YcPBU/x6ORm5VMKqR0cCMGvDToxmK/5eOl5/aiSp2YUsXudk00gkYl6ZdRfeBg1zV35LTr7zjS8Wi5gzeyStWwXy+vIfSEhw7bLk6+/B8vcfRq2R89K0jZz/40azr03nqSa+cwv6jWhPQKjX3zYwFWVVIl4N6MXL5VLsdofbcIuqKu5f/YK4HTKJGLObLlKWqkSs1I1AWW5pGX4ebipVs3IwWW10Dqm7KrHYbGw9d4ZeIaHE+rjX9/4y8TyfJ57j6XbdGzXqp/PSGLX3E5468g1mu5W3uo/mt7ueZX6HO2jvFfS/wqg7HA7KrSaul+XyW04iX6QcZ9mFnTx05CN6/fQqE498xPprB9FIFTzfeig7BzzP6k7jm2XUC0wlzD+/HqVYwZL4KcjqoS9W42TBKQC6eNbPgwcotRahlTRcfCcRyVwaVNQHmdiAxd687kEAFtsNQIpEXD97pzGIRGp8vNbjoZ1BWcXn5BXObDTha1D2oKVhHvmVv5BU+Ibr8QQJAwOWIBdp2Z8xH7PNWYMhFsTcHzoTmUjOthurauiio4LuorW2FZtubCWrMqtZc/9XPPbEgjzO52XRKSCIF3r2ZsWRw/S4cI4Jbdrx9pgRPLjpS+bu2su7Y0fy8sj+nE/LZs5Xe/hm+kSCvD147eFhTP/oO5Z/dYDFE4bQKSaEGeP78cbWX9m46wST7+qGh1bJijmjeXLuNl5e/i3vv/oACrkUuVzK0lfG8sz0Tcyd/xVr1zxEUOCtL6F/oJ7V6yYz55nNzHtuK6+tmUCbjvUzAP7TKK8y7Kp6ErMAyqowTaXRgqwWy0VdVXxUXuHGsEvFbkM01YnW2uELh8NBXmkF3pq6RUvnMpxfvA7BdVc5v6Qkk1VextIBg93OP72shIXH9tEzIJRZHevq+Nx+/vUJx1l17gB+Si0ru97FqLD4v9RpyeFwkG0sIa2igPSKQtIrCyk0lVNorqDQXE6Z1YjRZqliylixOpxaMnaHvaoxdlXjawRn1argrDyVisRIhap/RWIkVb9XJ2Kr/62egx0HVrsdk92C0WbFaDNTYqmk2FKJxe5qRFRiGTEegTwQ1o04fRBdvCIwyP9aD4EcYyHzzq2jxFLOmx2eqbfK9Pb7dTT/GJHqiHqlBKrHlVoK0UgaPp5YkGNrQlJUKvaixNx8UT6bNR2JOLBBD7spEAQRnh6zEQQJRSWrwWHB27CmQcZMsG4C5Zar3CzZgFYej596eM02lcSLgYFL2JU6nd9yVjPAfxGCIKCTGhgXOoNPry/lh/T1jA15BpEg4onIx5h/fjHvJ33Egti5TZ73v2LYJSIRz/zyPbtGTWJqxy4cS01l6aFf6BgQSPugAGYN6M2K/YfYevosEzu3543xIxj37lZmbt3FpifG0Tc+gqlDu/HxT8dpHxHI6B7xjBvcgfNJmXy0/SixLfzpFh9GRKgPi58fwexlO1j23h4WPz8SQRAweKpZ/vo4ps/Ywuw5X/DO2w/heVuTDV9/D1Z/9AgvPrmR+TO28traicS3bzrV6J9EWVXZv1pbv8d+u1fuUatblFbjNOyl5cY6+ykVMipNdQ3+LQqia5imwmzBarejc1Opei03Hw+FHF83Rn/X1UQ8FQr6hoW7nf/iY872hqv63FlvLLzMYmL2iZ3sSbvCsODWLO86Em0z2COlFiMn8pI4W5TK5eIMLhdnUma9dU8EBPQyFZ4yFXqZCn+FB0qJDIVIilwsrWnMUa0xfosJY3eKgDnsWOw2rA4bVrsNc83vzs8rHGYnk6bq5UA1PbJKkkAukuIpU6EUe6CTqvCQKfGQqvBRaAlU6glWGfCWa/6R1cgfhYm8fmkTFruVV9tMpaW2ca82sewq6ZUZPNrikQbHVdhKsDrMeNRTlVoNiaDA6qj7nawNhSQAsy2vSlqg6aJiDiwIzRjfGPS6WYCMopLXceRX4uO1rkHj3tIwj1LzFa7kzUcri3NJpvor29LJ61FO5X9MkKoLrTycFMkobfuaeHu0tiNt9D0xyAw8FjGZNVff5cvUb5o833/EsAuC8AkwEshxOBzxjY0P0Xpws7SYhcf28Wa/EawecicjPtvEcz/u5LsHJjK5W0eO30hl2b5DdAwOJNbfl1fvHcKMrTt548dDzLlrAE8O7865lEyWfXWAmBA/WgX7MPeRO0hKy2PeB7vYuHgCQT4e9OwUyRMT+vDhlsNEhfvy0JhuAISGePH60nuZ9dI25i38mrdWP1jDcQfw9NKw4oOHeenJjcx5ZjMLV95Pl57/nfZct6Os1IhKLW9QBEylchq4ioq6HpCuKoRT3UnpdmiUMiqMliq991sGo/p3W634e3nVS8BtUrWgkAivuvkEm93OwRvXGRIZ5ZYCeSjtOj/fvMacLv0I1rqXgS2zmHjwly1cKcpmTrtBTGnVrUkGrsRSyY/p5/gl+zKn8q9jddiRisS01PozLLANrXT+BKsMBKsM+Ct1SBsJRfy/DpPNzKaUn/g69RdCVL4sin+03tZ3tbE3ax8qsZLuhq4NjisyOzWGPKQNF+BJRHIs9sYNu1wcADgwWbNRSpsTVrHzdytWa0OvexaRoKSgeAH5RfPw0q+o93soEqTE+7zJiYzRXMidQSf/z13a67U1TCCj4jTHct7GVxGHpzwcgIF+40gqO8u36R8QomqJXuZDR88ODPYdyL5s97Ljbs//t670Fj4FhjV1sFoq49n2Pfjm2kW+TbqEt0rFm0PvJKmwgFcO/YJIEFh+11AMKiUzduyizGTmjviWTOzZgS1Hz7D/4jXEIhHLJt2JTqXgxU92UlZpQqWQsWr6KGfPx3d/wGh2xvAmjO7KoF6tWPfZYY6eTqqZR2xsEPPm3E1CQibLV+6qk0j08tbyxrrJzlZ7s7ZxeP8l/tsoLqrAw7P+Qg8Atboq3FJe17Ar5FLkMglFJXUNu1blNPqlFa4PWHXT6toUyup4vDvhr4ziUgI96ibMEvLzKDGZ6BnsPpy19swxAtVaHo1zX8Jusdt45uh2rhRl82Hv+3isdfdGjfqNsjyWXdjJ0P2rWXZxJ1mVxTwU0YtPekzh6ND5fNb7Sea3uZv7wrrSwyeKELXhf7VRN9rMbE89yKTjr/Nl6gGGBXRjbccZTTbqaRVpnCr8g0G+A5GLG14lFVqcPRI8ZQ2zaySCEpvDVNNGrz5UG/NK680mzbUaIkGP/S8kXRuDTvsYHtpnKCvfTEnZugbHKiSBxHovp8x8iasFr9Wan5j+AQuQiBQcyFyEtUo4TSxIuC/keewOG1+lrqm5P/eHjmN+7Jwmz/MfMewOh+MQ0KwMx/T2PenkG8S8Iz9zs7SIXiFhPNGpK19cPM+uxAQMKiVvjr6Tm4XFLN7jfFPNurM3cUG+zP/6ZzKKSjBoVax4ZDjp+cUs/szZeSnYV8+Sx+8k4UYOKzcdAJzMlZefGkrLFn4senMnyTfzaubRu1c0j08dwMFDV3j/g311NBn0BjUrPphEq7ggXp/7Nft3n/ubd6t5KCmqwEPfsGHXVHnlpaV1PSBBEPD0UFFYVJcL7FHtzZe57qeoitNXml2TW9YqPRqpm9h7TlkZftq6SdVTGekAdAmsm1Q9n5fFyew0psZ3qbc70Gt/7uNwVjJLO93JwED3EsHVKDSXM/fPrxh1cA3bU08xOCCObb2n8W3/53iu9RA6GsL/Vxvw22F32EkoucmG5F089PtSPkj6liClN6vbP83zre5HJWl68/Yd6d8jF8kY5j+k0bEFJmeuxSBr+KUhrapKtTbitaskToegwpLShJnegljshc2e1ww9mqZDr5uDSjmCwuIlVFTuaXCst2ogobrHyCj7gqyyH1y2qSTe9PefT6E5mRN5H9R87iX3567AqaSUX+JQ7g7A2ZwjUtO4zHc1/musGEEQHhcE4ZQgCKcy83KRiESs6T8SAZjx6y6sdjvPd+9Je78A5h7YS3ppCV1Cg3mmT3e+v3CF785fRiaRsHr8CGwOBy9+vhuLzUbHqGCevas3+85cY9vBMwD0bh/BY6O6s/O3i3x38DzgjCcvf3k0SoWUuSu+dYk5j7u3K/eO7cL2b0/z9faTdeau0Sp4/Z2JtO0UzqrFO9ix7ff/yj0DKMwvw7ORSlVtVfy9rMz9Q+LlqSa/qLzO5wYP58NVUOJq9DUKp1dWZnSNv1c7yrUJkkarFZPVhqeqrrG4nJeLQaEkSFfXm/8u6TJSkYixLd1H737NvMbma6d4NLor90d2cDumGnszLzD24Dv8nHmRRyP7smfgCyxtN4YYj8Ypq82B3WHHYrdispmpsBoptxox2syY7VZs/wEj0lRY7TaSyzL4OesEbyd8yYPHXuGZP97iy5v7aaUN5c32z/BGh2dop29eOPHPwjOcKjzNnQHD0Egbr5jONaWjkehRiBtO6sqqDLulkeIjmdgXsaCh3JLU4LjakEjCACtWW2qz9msKBEGEt+daZNL25BZMw2RuuLtRhOfzeMg7kpi/BKPVld0SrO5GnP5eLhV9Q0bFrRqYDp79aePRi/1ZX5Be0bxrh/9i8tThcKwD1gEoIoMcZ/LTae8VxKu9hvDcrzt57+wxnuvQi7eGDmfktk3M/Gk3n40Zx7ReXTl6/SaL9+ynfVAAYV56Ft8zmBc/3807e48yc1gfHh7YiT+T0nnz20O0bRFAfJg/U0Z159y1DFZtPkB0mC8x4X74eml59cVRTF/0BUve2sWKOfcgFosQBIEnHx9ITk4JH350AD9fHX37uGqdKJQylrw5npULtvPhmz+Rk1XM4zOG/MepdQV5ZcS2azi2qKtqBFLsJtwC4GPQkJKWX+dzLw/nw5dXy+hXt8IrrRWzr5YfsNbSNimrir1r5W6SqgX5tPSqm0hzOBzsun6FvkEt3LZ+KzUbmXNiFy11PrzQtv5G2SabhUXndrAn4zyxHoF81O0RWjaj08zt88k3F5NSnsXN8mwyjfnkm4rJN5dQZCmj0mqi0mbC2Aj3WiyIkImkyEQS5CIZCnHVj0iGUixHKZajEMtq/q3eJhNLkYukyETViVoRYkGMA0eVZo0dq8NGhdVEpc35Qsk3F5NrKibXVER6RS6WqkpOpVhOZ89W9PCOp5tXLDrpX2POFJoL+eT6RkJVIYwMGN74DkCuKQ1feeOUS2mV4Tfby1BTf5csQRDQyFpSbk5s2qSrjy9xajhZLJeRSv55VptIpMLPexMZOcPIzX+SQL+9iOppCCISJMR4r+BExt1cyZtHO7/1Lnaji/cTpJb/zqGsZYwJ24hMrK7Rk0kpv8TXqWt5uuVqJA0UhdXGv7IulYrEzPr9e3YOfYzRkbH8kprMmj+P0i84gvY+ASzpP4gX9u7ho9MneapLN1aPGsao9VuY+e1uPp90P8PbteJEciobDp6ie2QoPVuG8crEoTywYgsvf7qbz1+agEYp59UnR/DQoi28/O4PbFo8AQ+Nkratg5jx6EBWr9vHJ18eZep4J71OJBKYM3skefllLFuxE19fD1q3chWcUiikzFt+Hx++uYftn/2O0Wjh2dkj6m0N93dhMlooLqrAy7th9UK1Wo5IJFBSXI9h99Jy/ExKnQImn6rOSbmFrg16dSoFggCF5a7Hq46tm2rF3o3WqvZ7bmLvN4uLGdii7hLyalE+GeWlTO/Q0+2cN107RY6xjA9734tc7P5rarRZeP7UZxzLu8bT0YOYHNkHiahp9DaHw8H18kzOFF3lbOE1zhcnU2q95T2qxAq85R4YZFqiNSGoJHKUYgUKsQypSOI0vIhAoMbw2hw2Z6s9uxWz3VJFYTRhtJmptJkpMJdgtJmpsJkw2kxU2szYm9BFqD7opRq85R4EKrzoYmhNlCaIKE0wQSqfJskINASjzchbiWsx2008ETG1Xone22F32Mk23qSjZ/0v4mrIqoyguVZzaHfQyFqTVfYDDocdoYnXJZPGAGJM5j9QKZuc/msWxGJvfAzvkZU7hoKi+Xgb3q53rEoaSpTnSyQWLCGj9HOCdONrtklECvr7z+eH1Kf4PXctff2dsXSVRMs9wU+xKeU1DmR/wZCAiU2e279i2INVelLKClhxdj+LOw3jlR6DOZGVyoxfd7J79CTuaR3LLynJvH38KL1Dw2jr58/S4YOZvn0Xaw4d44UBvZk9oh9/pKQz56s9bJ/+EF4aFcseGc6UNV+yZNteVk4egV6rZPkzI5n62hcsXreHN2aMRiQSGDWkHVeSstn49e9EhHozqJfTO5fLpbyyeAzPTt/EnHlfsvbthwgJdi2PF4tFPPXCnSiVMr7YeITiwgpeWjK6wcrQv4q8HGfyxzegYU6wSCSg17uPowP4++ioNFooKTPicVubPw+1AoVMQlaBa5JJIhahVyvJL3H15NVVlajltSiStioPvjZV0WKzkVdRjp+6rifze6ZzidwroK43VWE182niSfoHRNLOy70Mg9lmZcaprRzPS2Zx29GMbqB5xO3IqixgT9bv7M8+TZbRmRYKUHjRy7sNUdpgwlX+hKn9G5St/afgcDiwOGwYbSbMdgtmuxWTzeLky+OkUVarRoqr+PBKsRy1RIFCLP/bxrs+WO1W3r/2IakVaTwfPZ1gVdOkMPJNmZjtRoKU9QuEVUMucjorJlvjcgFaWTzpjm1UWFNQNyDmdTtEIjUyWTuMpv9s2FQh74aHdjrFpW+jVAxGrRpZ79gg7XhyK/ZxtXAFnspeqKS3KNS+yjjaGiZwtmAzYZrehGmc1b2tdJ3o6DmQQ7nfEuPRrcnz+ke+GYIgbAOOAa0EQUgTBGFKQ+PVUhmPRndl87XT/JaVjIdcwRt9h3O9pJBlJw8iCAKvDrgDH5WKmT/vptJiYVhMNPe1j+fjoyc5cSMNpUzK6vEjKKk0seBrZ+K0fUQgz9zVi71/XuWr35xJzriIAGY+2J8j566zdc+p6vkyc+og2sYEsey9PSTdyK2Zm8FTzYpl9yMIAnPmfUlxcV1jKQgCk58exBPPD+XYwSvMfmoTxfUY1b+DzHSntryfv3sa4O3Q61UUFLr3fgJ8nftnZBe5fC4IAgHeHqTn1G0e4qNTk1Psejyl1Kl6WGpsmtpeobESB+CjrhsKOJObgY9STYgbiuPum5cpMFXwRGv33rzD4WDZxZ38npfEoiYa9Zvl2Sy+8AkPH3+VbTf2Eaj0ZlarB9jafSGbus9nVusHGBXUm3aeUf8Vow7O+y8TSdBJ1XjL9QQqvWmhCSBKG0S0NoRYj3BidGG00oUSpQ0iTO2Pr8ITtUT5HzPq+aZ8ll1Zxdni80wKn0hbfdMEtADSKp29fAObYtjFzpyLqQnMFZ3c2bClxHimyXMBUMp7YTL/ic1e1PjgvwG9biYyaTvyi17Caqu/QlQQBGK8X0OEhCt58+oQNTp6TcYgj+JI9hs1VakAIwIno5N6sj313SbP6Z9ixYx3OBwBDodD6nA4gh0Ox4bG9pnVpj+RWi9mn9hJqdlIz8AwpsR1YtPlPzmcnoKHQsHKO4aRXFjIiiOHAJh7Rz9CPfW89P0eSoxGov29mTWsDwcTrrP1qPOPPmlgZ3rGhLF6+0ES0pwGe+zAdgzs3JL3vznCmUQnS0MmlbB01t2oVXLmrvzOJZkaHGxg6ZKx5OaWsnDJdsxuqjMFQWDMg91ZsGIcyVezmTnlE7KqDPE/hfRUp0cZFNZwsQeAt5eWgvy6CVKA4CqPPz2rrgEP8dOTnlv3ix9g0JFV4OpNCYKAp1pJQe0QTRWjxVxLGrjMXMV7l9VdzSQU5hFr8HWbo9hx4zxhGk+6+LjPLfyQfoYdqad5LKofo0Ma7kRVYinnncRvmHpyJX8WJjI+dDCbuy9gRbtpDAvohq/irzXN/t+I04V/sODCYtIq0pgW+Tj9fZuns5JSfhmFSIWvonG+uULsfKEbbY13JFNLo5CI9BSZ6hIbGoJKMQywUlm5t1n7NReCIMXH8C4ORyX5hS802O1IIQkgyjCbItMJssp2uGwTC1L6+L1Eha2AU/kf39pHrGZU0LRmzXLs5o8AACAASURBVOlfk7xTSKSs6nYXOcYyXjvjrDx8qXNfIj0MvHj4R0rMJnqFhDG5fUc2nTvD4ZspqGUyVo8aRnZpGUt//hWACT3b0691C97Yc5jErDxEIoFXHxqGh0rBnI27qTRbEASB+Y8OIdBbx7z3d9awQLw81Sx94W6yckt47Z0fXXjscbFBzH5xBOfPp/Hm23vq/WP17N+a5e89RFFROTMe3cCFM83j2zaEtBt5KFUyDE3Qb/fy0pCf795jD/LTIwiQmlGXkRrsqyctu6gmnFKNQC8d6QUlda7boFGRV+r6AqmOrVdaXOmRFVX/V9Vq5uxwOEgqLiBKX1cFMt9YzvGcG4wKi3dr9EstRt68tIcOnmFMi25YTvVcURJTTixnZ8ZRRgT24NNu85gcMfz/G/Pb4HA4uFh8iTcT1rD26nv4yH14JX4h3b2avuyvRkrZRULVrWuqcxuCTKRBhASjtXFnSBBEeCq6UFh5vFkt4mSy9ojFgZRX7Gh88N+EVBqFXjeHSuN+Ko0HGhwboBmLh7wD1wpXYrG5rlh8FDHE6u/hUtEOco1Xaj5vpevIM9FvNnk+/0qMPbWiALPNSjuvIKa26s5HV44xPCSGvgGRvNlvBPf8sIWlxw+wqs+dvNizN4dupPDyvp/4ccIk2gUFMK13N949/DuDWkYwLCaapWOHcM+azcz+4kc+f2o8Bq2KpQ8N5cn3tvPmjkPMu38QGpWcZU/fxaOvfMaidT+yZuYYRCKBtq2DePrhfqz9n1/Y+PUxJo+7tfwfOCCWtLQCPt30Gz4+OqZMdq9MGNculDc/fpQlL37OS09uZNqsYYy8t/PfZswkX80mPNK9V1sbPt5aCgrLsFhsdRpfy+VSAnw93DJjWgQaMFlsZOaVEOx7K5Yf6qOn3GimoLQCr9saWvvrNGTXCtFoq+iRtUM09qqHsHaXpBKziUqrhUBNXQrksZwbOIB+Ae6X85uTj1BkqeCluOENhiP2Zp3kzYQvCFB4saLdNCI0f4326HA4KLYUk2vKI8+UR545nzJrGRXWCipsFRhtJuzYsDnsTn37KjaLWBAjE0mRixQoxM4ftViJSqJGLVGhkWjQSDToJFo0Ek2TkpP/JPJNBfxR9CcHsn8hw5iJVqLhvuCxDPMf8pfmkmtMJ8+cQXfvhhUiqyEIAkqJgUpb01a5BkUvciv2UmFJRi1rPNTjPIcIrXoCRSWrMFsSkEmb1u3sr0KneYTSsk8oLHkdpWJAvYleQRARbVjEycwxXC9aS7TXfJftnb2mklJ6kN+yVzEqdB2iKr0bcTN0b/4Vw15qMbIh6RDTogfyXHxf9qUnMvfUbvYMe5z2PgFMa9uN987+zvDwVgwIiWD1HcO496ttLD30K6vuGMa0Xl05eO06C3/cT8fgQHy1Gl4dO4RpG79l7d6jvDi8L91bh/HwwE5sOnCaHq3DGNguiuhQH2ZOGMDyjfvY/ONJJo1wlkffN6IjCcnZbPjiKK0j/enR6VaC5qGJvcjNK2XrZ0cJDPDgzmHt3F5TWIQPaz+dyoqF23l35W7SbuTx+PNDG5QCaAh2u4PkxGwGDGtUoQEAHx8dDgfk5ZUS4CbZGh7sxfVUN4Y9yBnmSU7PdzHsYb5OrzYlp9DVsOu1/Hkzw+UYUrEYtUxKsbHxEnGA7Arni8FXWXclcjznBhqpnHjPui3wSi1GNl8/ypCA+Ab56TszjrIm8Sva66NYGDcZrbThAq/b4XA4SC6/zuWSKySVJZFUnkyxxdWrkovkqMQqVBIlCpHiljEXibA57JjsJmwOG2a7GZPNhNFuotJWia2BKku1WIVOqkMr0aKTatFKdegkWrQSLRqpBm3Vi0ApVqIWq1BKlI0+6HaHnUqbkQJzATmmHHKNudyoSCWx9Cp5VaX/LdThTI2YQldDF2TNoNPVxoXiowDE6Jru6SvFBiqseY0PBLxU/aAA8ioPNNmwA2jVkygufYfi0nfwMTQ9Rv1XIAgy9B6zySt4ivLK79Co7ql/XvIYgrT3k176GYHacWhktyTEZWIN3X2ncyBzEZeLdhDneW+z5/KvGHYPqZIN1w4xJCCeSK0vy7uOZNz+jaw+9wuLOw3juQ49+fnGVeYc+Ym9Yx6lnX8AT3TqyvunjnNnVDQDW0SwqooCuWD3Pj4cN4q+rVtwf7e2bPztNANiIujcIphn7+rFqaupLPlsL3Fh/vjpNdzTvw0nL93kw+1H6RITSmyEP4Ig8NITd5B0I5ela3fzyeqH8fdxepOCIDBj+lCysop5a81PhIR4ER/nnqer0SpY8sZ41r39Ezu2HedqQhYvLbkH/8CmNR6+HTev51JRbiKmgW5OtyOgKsGalV3s1rBHhvlw/EwKZosV2W1NMqKCvREEuHozl74dbj0wEf5VBj8rn05Rt+YQ6qWnpNJEUYUR/W0FSd5qNbllrglkeTU90uaaoyizVPHe3XRGulyUTZzez61i4+70s1TazEyKqF8B8lDOGdYmfk03QyyL4ic3udL0elkKvxcc51TBafLMzhegn9yPOF0cEeoW+Cp88ZF74SXzarSs3h0cDgdmu5lyWwXl1nLKrGWUWcsosZRSai2l1FJKibWUEksJGcYsSksTKbOWVzXjcw+JIEEmkiIVyVyMvN1hx2irxGh3ox0k0RGtjWKI/2DidDEEq5ou81sf7A47pwsPEKGORy9rWpN2ALXEmxJLRuMDcZbna2VtyCn/kTCPqU0+h1jshVY9mZKyD/HQPvsf99rVylEUS9ZSXPImauXdDapLRuifI7t8N1cLXqe93/+4rMxbaAYQpNrJ6fwNRGgHoWxEBrk2/p3WeEoP1BIZS89/xyc9ptDRO5hJLbvw6dWTjAyNo7NPCKv63MmYnVtZdvJXXu81lGe7dmff9STmHdjLTxMnEeFlYGb/3izbd5Ad5y4xpl0cs+7sw7FrN5nz5U/seG4iGoWc1yfdyQMrt7Jw8x4+eHqsk6/+yGAuJmcy94NdbFkyEY1K7pTznXU3U17azMI3fuD9Vx9AUqVHLhaLWDBvFE89u5FFi7fz3jsP4+/v3liLRAJPPD+UqNYBvLdyN9Me/JDZS8fQvU/DvRNr44/jzmqz2LZNEz6qNuaZmUV0aF+XQtiyhS82m53rqfm0iril46FSyAjx8yThZo7LeD+9Bo1CxtUMVy+/usnGzbxC9KG3vGpfrZrsUtcQTXVsvaJO7N3ssr0aDoeDxOJcxoS3dXuN36X9QSudP7H1eOtZlQWsurKtqtvMpCYZ9aSyZL5M/ZorpQmIBTHxujjuCRpFO31btNKG6weaA0EQkIvlyMVyDLKmPaR2h52y214CZdYyKmyVVFgrqLRVYrKbMdtNmO1mp2JkzblEKEUKlGIlSrECT5kBX7kPvgof1JK/VqzUEJLKzlJozuYOv/GND74NaokvGZV/Nnm8n3o41wpXUGG5jkrqvguXO3hon6G0fAuFxa/j5930vqF/BYIgQq+bRW7BVMorf0CjGl3vWKnYkwj9dBILlpJf+QveqoG3HUegh+9zfJMyidP5G+jt90Kz5vGvJE8lgoiZMcM4U3iTHal/ADCzTX8CVTrmn9qN2Wajg28gj8Z1YuuVsxzPTEUukbBy8FByK8pZ9puTJTOpawc6hQTy2t6DZJWUoZbLWD5uGFnFpazYdRCAcD8DL4zpx/HEVL487Cz91akVvDptBNn5JSzfeEsfJiTQk5efGsqlq5l8sPmQy5x1OiWvvXIvFquNOfO+qrd8H5x/lMHD2/HB1icJCjWweNY2Pnl3X02bu8ZgNln5Zusx4tqHEhTaOCMGwNdXh0QiIi3NvWRPtTG/cq0uHat1uC+Xkl0/FwSB6CAfrqS6GvxIX2fCMynH9TyBHjrSi11DFh5VsfeiWiGamth7rcKuYrORcquZUE3dl2aOsYRLxRkMC3TfoQngg2vOJNm82IeRixuuK8g35fPu1fd55dJrZBozmRA6nnc6vM3MVs/R26fXP2rU/ypEggidVEugMoBobUs6enagt3dPhvgPZlTQXYwLGcvEsAd5tMUjPBbxaM3PlBaP8GDYA9wTPIphAUPp5tWFFprw/4hRdzgcHMj+Eg+pF3EePRrf4TZopP5Y7OVN4rID+KlHICAmo7Tp8rUAYrEBvXY6lcafqahsukLiX4VKORyJJJKS0o8aTfYGah9AKQnletG7dXWqZGHEeIwioXgnxeZmiqA1e9b/EO4O7kAnQzhrrvxMgakMtVTGK52GcbUkj3VXjgEwq2NvQrQevHxkD0arlbZ+/jzWsTNfXDzPkdQbiASBZSOHYLHZWLDbaaDbhQYwpV9ntp+6yK+XnR3Vx/ZsQ6/YcN7+7jAp2U6D1DYqkKmje/Lz8QR2/XZLtXFgz1bcO7wjX+w8zf4jV1zmHBbmzZJFY0jPKGTRkh1Y3XQfuh3+QZ6sXjeZO0a254uNR3jsvnf5/XDjpdHffXmCvJxSHn6if5Pvp1gsIijQk9R6DHugnwcalZzE6zl1trWJDCCnsIycQtcHLCbEl8T03BrxL4BggwcKqYTELNfYaKjeg6ySUkzWW2EXrUyOVCQiv9I1RCOqCrPUVtPMrnSe31dZ16gezb0GQC8f9yufk/mXOZp/gYnhQxplvZwvusD8C4s5V3yB0UF3s7LtMob4D0YtaXos/v/DiYTS09ysSKC/773NKnkH0EmdhU8llvQmjZdL/PBS9iezbDt2R9OcpJpzaR9HIomkoHgB9r/QHLs5EAQROs1jmC1nMFsa5t6LBAlhHk9Qar5IfuWhOts7eD2CRJBxMq9hJck6x23W6H8QgiAwL/4uKqwm3klw0h0HBLbkzuDWvH/5CDfLClFJZSzrNZTk4kLeP+esIJvRrQfhek/mH9hHpcVCuMGTmQN6cTDpOj9cdBripwZ1J9rfmyXf7qOk0oggCCx68A7kUgnzNu2pMVSTRnahY6tg3tj6Cxm5t/i0Tz/cj/hWgaz44GfSs1w53h3ahzHr+Tv588wNPl7/a6PXqVBImbVwFG9teBSth4pFM7fx5tLvuHk91+34s6dT+J/39tO9TzTtOzd9uQkQGurFjRvuk1GCINAq0o/Lbjz2uAhnSOXCNddWgXFh/hgtVq5l3jqmWCQiys+LK5mu8w83eOIAUgpu3S9BEPBRq8kpd6VHyqt477Vj7yUWp2evl9XVjjlflIqHVEnLeho0b7u5Dz+5J2OCG+ZeH8k7xltX1+It9+LV+CXcEzQKhbjpSof/H7dgthvZmbEBb1kgHT0bpp66g4fMGWYsNjddqCtINx6LPZ/s8t3NOpcgyPDSL8dqTSG/6MVm0Sb/CtSqewAxFZU/NzrWXzMKuTiAm8Uf19mmlHjSxjCelLKD5BovN/n8/4phN9qcb9sIrS8TWvRkR+ppzhc6/7jzO9yBRBCx+I+fcDgc9AkKZ1RkDB+cPc61onwUEimvDRjMjeIi1pxwevYPdW5Ph6AAXv35V/LLK5BJJCwdewd5pRWs3n0YAF8PDfMeGMTFm9ls+PkE4DRSi6Y6dSSWrN9Tw+WWSsUsmjECkSCw+K2ddXqJDh3ShlF3d+Srb06yb//FJl1zbNsQ1n76GPdO7MH+3eeYOu59XnxyI0d/vULy1WyuXs7g+G+JLJ39JUGhBl56pf6Men1o0cKH9IxCjEb3vSTjogNJSsnBWKuxdaswX+RSMWevuSay2rVwGvyzybUMfpAfl9KzXTzulj7OkNHVXNeYfJBWR1qJaxGKrqrzUanFNblnrDL0CnFdzy+hJIuWWn+3YZjE0lTOFydzT3DfBuPqe7P2sy55PdGalsyNmY2von7xqYZQYS0luewCR/N28UP6x3x+YzXrkxayNnEGb155mlWXH2f5pSksv/QYq69M462EZ3k3cRbrkxayJWU536S+y0+Zmzmat5PzRUe4UX6ZYnNeo9rk/zfB5rDy1c01FJlzGB08rdneOoBOFoyAmCJzSpP3MSh6o5ZGc7N4Q7ONs1LRG73uRcortlNatr6Zs20exCIP5LIOGE2HGx0rEqSE6h6hyHSSYjfVtfGe96MQezTLa/+XeOw5pFXkEqzy4fGW/dmdfpblF3exudfj+Kt0zIjvy2tn9rEvI5E7glqxoNtAfklNZsHRvXx25/30CAllXGw8G/44xahWMcR4+/DaiDsYtX4Ly/YdZPWoO4kP9mdy305sOHiKYW2j6dkyjCEdojnQ6Rof7znOgLaRRAf5EOCtY9bEAbyy/ie2/HiqhgIZ4OvB7KeGsGD1D3zy5VGemODamf2pJwdx/Xouq97YTVCgJzExjfOkZTIJU58bwn0P9eKn7/9k1/ZTLHnxC5cxHp4qFr8xvsHm1fUhMsIXhwOSk3OIja2r7xHfKgCb3cGlxEw6trmlUyGViImN8OfPBNclcaBBh4+Hmj+S0ri/7y2aZ3ywH18cP8f1vAIifZ0GPcLLE6lIxJWcXEbG3WIehHro+e2ma1NwfZWaY4HRtYK1WjXSHT89rbyAwQFxbq97b9ZJZCIpwwLqp9ollCay9eY2OurbMy3qyWZR+6x2CynlF7lScoqE0tMUmLNrtslFKrQSPWqJBwaZP1KRHLEgqWGpWO0WbA4LFrsZo72CAnMWlbYyyq0l2ByuKxYRYvQybzxlfhhk/njJ/fGSBeItD8Qg8/tLxvM/gUpbOdturCKp7BwjAqfQQuP+79IYxIIUD1kI+aZrTd5HEARCPaZwOW82uRV78VU3rhF/Ozy0z2E2n6OgeDESSQQq5aDmTrvJkMu7U1L6IQ6HpcE2egAB2vu4XvweqSUb8VC0d9kmE6loZ5jI8dz3mnzuf8WwC4LAhuSdLIqfjFoi57nWQ5h/9ht+SDvDqJCOPNSyM18mn+XVP/fSxy8CH6Walzr3Zf7RvfyQfIW7I2N4uXdf9iUnseDAXr68bzxRPl483rML7/12nNFtYukdEcbTg3pw4FISi7bv49sZD6GWy3j5vgGcSExl0daf2TxrPBKxiBG9YvntTDIfbT9K9/hwWoU5mwQM6NGKEQOvs2XHcTrEhdC1fXjNNUilYpYsuoenntnIgsXf8MG7k/DxqVtw4w56g5r7H+nN2Ik9OP17EmazFYlYjEQiomVMIHrDX0tyVatRJiRmuTXsbVoHIQhw9nKai2EH6NQ6hE++P05puRGt2ml4BUGgS8sQjifcdFGGbB/qfImduZFZY9hlEgktfby5mJntctwIT0++uXyRUpOpRtbXS6lGJAjkVLiyaGRVyozWWp6rxW6jyFKBt7wu793hcHAs7wKdPFuhlijrbAeotFWyLmkD3nJvHo98rMlGvdCcw2+53/Fn4UFM9gqkgoxITVu6GobirwzHXxGGRqL/S4VoTo55GaWWQoot+RRZciky51JkzqHAnM2F4qNU3qYXIiDCU+aDtzwIH3kQPvJgvOWB+CqCUUsa1xL6p5BvymRLynLyzZmMDX6WjobGlRwbgrc82kWHvCnwU4/kRvFHJBe9hbdqICKh6WZMEER4G94lK/cecgsex99nB3KZexbW34VM0hKwYrXeQCptWAdfIlIToLmXtJKNGK1ZKCSu0tMxHqNRS/yApoW8/pVQjEGm5be8c1wodiY3hwe1pY0+mHcS9lJhNSEViVncaShp5cV8nOCMrT/Yqh1tvf1ZeuIAZWYTeoWSuX368UdWJl9ddDbTeLJXV1oYPFn0436MFityqYRXxtxBZnEJ7+x1FlDo1UrmjhvI5dQcNh9wfqEEQeDlRwaj1ypZ8vEeLLclRZ9/bBDhwV68+s5uCmsJgnl4qHh16b1UVlpY8up3jSZTa0MiEdOtdzR9BsbSo18ruvRq+ZeNOoC3txaDQc2VBPfcYK1aQVS4L39cqBvT7BwTgt3h4I+ENNfPWwaTX1rB9exbSdkWPp54qpWcTnH18OMCfDmfmV3DegFoaXAa/msFt0I0EpEIH6WajHLXZG21PG+l1TVUVGJxevZ6Wd17k2nMJ9tUSBdD6zrbqvF9xk7yzfk8GfEYSrF74387yq3F7Exfz1sJz3CyYC8xui5MDJ/D3LiNPNRiLn18R9NS2x6t1PMvVxeLBBFqiQ5/ZRitdB3p5jWUoQETuT9sJtNarmB+3Cbmx25iWtQK7gt5jv6+YwlSRlJiKeB4/k98m/4B65MX8Pqlybx2cRLrrs1le+p7HM75lsvFJ8gxpmFpRDu+qXA4HFwvu8hnKSt5K+FZSiz5PNJiwd826gDeihgqbPmUW+om9euDSJAQ6fkCFZZk0kq2NPucIpEaX+9NiESeZOXeS6XxSLOP0RRIqnTgm9rsI1j7IA7sZJZ9XfdYIgUR2qbf73/FsOtlWgwyHeuTdtaUYb8YO5w8UxmfJv8GQHffMIYFt+ajy8fIqihBLBLxSo/B5FSU895Zp7G/p3UsnQODWHX0N4qMlcglEpbcOYjUomI+OHIcgI7hQYzr2patR89wMd3pTQ5u35KBbaP4YPexGpaMXqNkziN3cC0tj//54XjNXBVyKYufH0lpmYmVH/xcJ67XItyHWc8P49KldDb8T92s9n8TgiAQHe1P4tXsesd0bhPKhYQMKmt1R2oTFYhKIeX3C65hk27RTs/+9yu36FaCINClRTAnklNd7kfH4EBKjCaS8269BGK8naufi7muD264Ts+NEtfEtF7uNLpFZld6pKkm9l7XM0suc77EorXu+f7FlmL2ZR+gu1c3orSNdw+6WnqGNQnPcTx/Dx09BzCr1fvcF/ocMbouyETNL0z6O1BKNASrWtLesx+D/cfzQNgLPBv9JoviP+OF1h8yqcV8hgdMJtajO4Ig4krpKfZkbWLLjeWsSZzOkgvjWXX5cdYnLeDr1LXsy9rGifyfuVR8gpvlCeSZMiixFFBpLcNiN2OyVVJqKSTPlMH1sosczdvFN6nvsiZxOuuTF3C9/CJ9fEYzvdUaIjRNV31sCP5K53GyjOebtZ+3ciBeyn5cL1qD0ZrZ+A61IBH7E+DzLRJxANl5D1Je8V2zj9GEswA0WGR2O5TSEDwV3aq05/9ecvdfCcWIEHg4fChvJ37F7/kX6eEdT1vPEIYExLMp6Qj3hXbFR6Hl5XaDOJBxlTfOH2RVt7vo4BvIfS3j+fjCSe5v1ZZwnSdL+g/i7m2bWX3sCK8OGEz38BBGtYlh/bFTjGoTQ4SXgRlDe7H/0jWW7NjHtqfGIxaJmHv/QMa+tokln+1lw3PjEIkE+rSPYFiP1vzPzhMM7NySqBBnci0yzIcnJvTh3Y2/8uMvFxk+0LXMf+CAWM6eS+WLL4/TKtqf/v1i/o3bCkCr6ACOH0+ivNxU0+T6dnRtH86270/x58VUena6VWkqlYjpHBPK0XPXXcIuQd4ehPjoOXr5Bg/2v9WerltkCD9fuMrN/CLCvJ30wk4hzhDNqdR0oqqSqYFaLXqFggs5ri+bcJ0n+266tvzylDkNe4HJdWVUHZqRuKniSyl3snzC1O67Ju3N2o/FbmF04F1ut9+OE/k/8X36OnwVIUyJXIKf4p/vvPNPQCSI8JT54inzJVrrqm5ZaS0jz5xBvimTfHMW+aZMisw5JJddoMRSgKOZjT3UYh0Bygh6+4ymnb430n/45WaQRyIVlGRW/EmktunxbkEQiDYs5HjGCK7kL6Cd78fNXj1JJMH4+35HTt4j5BY8icV6DQ/tcwjNCO00DCc5QKDpGi++6hEk5C+g3JKARlb/KrQx/Gt0x6H+3QhUevPp9R9rquaeaTUYq8PGx9d+BSBEo+eR6K7sSDnHpULnA/xi577IxGJeP+EcE+Ptw8S27fn8wjkuV3mFswf2QS6V8OrPv+JwONApFbw0vB8X03P44rhTp91bp2bmPX35MzmDb3+/UDOvmQ8OQKeS88qGn11CK+NGdqJtTBBrP/2F7Ly6GtLPPDWYuNggVq7eTUo9lMP/BmJbB+JwwOUr7sMxbWOCUSqkHD2VXGdb73YtyMwrISnNdf69Y8M5efWmS3PrXtFOo3c4IaXmszBPPb4aNcdv3ArnCIJAe/8A/sxy9apaefqQb6wgt/IWFdIgVyEXS8iscL2/0qrYu8VeN9SVby5GL9WgcFOQZHfYOZp/jHiPOPyVDbfL+y33O75L/4hobUeejFrxf61RbwxKiYYQVTTtPfsxyO9+xoXO4PGo13kpZh1L2nzOi63X8VTUKia1mM+9Ic8yKugJhgdMZoj/BIYFPMzdQU9wX8hzPNJiAbNj1jMn9n+YHLGQzoZB/7hRB2dYJUDVibTyE81nuUiDifJ8kYLKw6SVbv5L5xeL9Pj5fI5adS9FJavJyh2NpZn9VeuDyey0NVJp0x09b6WTrptf2TibpiH8a4ZdIhIzKXwYyeUZHM513oBQtRdjQjuz/eYpUsudy/lpMT3Ry5QsP+uUwvRTaXiqbXd+unGVY5nO8MCMbj3xkMt55dAvOBwOvDVqnuvbg9+Sb7A/sSqO364VPaJCWfPTEXKrZGfv7hZLp6hg3vr2MAWlTi9Rr1Uy++FBXEnJZsueW0kdkUhg7tPDsNnsvP7unjrFNVKpmIULnM2yFy/ZUS/l8D+NmNhABAEuXEhzu10uk9ClXThHTiXVuYbe7SMRBDj4h+sXu298BCaLjRMJt8IxIQY94d6eHEq4XvOZIAh0Dw/h9xupLnH2TgGBXC3IdxEJizE4V0OX83Nc9g9U6Ugrdw3RyKuSnUZb3XtaaC5FL3NfJZpcfp18cwE9vLq73V6NC0VH+TFzI208ejIhfPY/GnKxO6yYbKVUWPMx2kqw2CuxO+rq+/83IBYk6GXeBKkiidZ2pIPnALp6DaWXz1308x1LH5/RdPMaSnvPfrTUdkAnNfzHe/oChKi7U2bNpNB8vfHBtRCknYCXsj/XClZSbGq4qXR9EAkKvD3X4m14H4sliYzswRSXvoejmUVQtWE0HUYiDkMi9m3yPnKJHxppKwoqf/tb5/7XDDtAKF7FmAAAIABJREFUP98OhCh9+ezG3pq39dSo/ogFER9d/QUAnUzB03G9OZJ9nSNZzj/8Y/GdCVRref3Er9gdDjwUCp7v3ovj6f+Hu/MOjKrM3v/nTq9JZpJJ770TUkgg9F5VwAJW7HXd1XVd3a7rqlvUZa1rW7uIKCAd6S1AKEmAAElI772XSTLz++OGmQwJShW/v+c/7twZ7tzJPe95n/Oc55TzfaEonbotOYFQNyMvb92Jua9P9GS/bjLdfX28tlG8aYIg8IdbptDV08vS7+w3cnJKOJOTw/hgdQbltfYg4+tl4BdLJnH4WCmrNw/9IzK56fn9s9dRWtbAex/suCr37Meg06oID/PkaHbJec+ZkBpGXWM7J/Ics3o3Fy3xod5szXTsjk0O9UWnVrIt55yAHxHEwcJyh1F56UEBNHR0klttD9gp3qLR1MEK+2IT4yo2GmXXOzZMBemNFLY5auH1clGl09w7tGOwq78H9XnsAwraxeuNdY4e9nUQqYs1le/jrQ7hJv9fIb2EbbjVaqWx5wzHm1awt+YV1pc/wbLCG/lf/hQ+zJ/Ep2dm80XhDXx2Zg4fF0znw/xJfJw/na+KbuG70of4vvL3HKh7k9zmlZR1HKC9t+aqN9D8nBCgG4eAlDOtP97Mcy7EqUQvoZR5cqzmEbr6LqyLdbjP0Wnm4+25HZVqAk0tL1BePZrW9o+xWi9sYthgdHVvp6t7G1rNwot+r4tqFK09OVgvo6/hmgZ2qSBhccBUCjsq2d8gNvqYVHpuCUhlfUU2Re1id+OtIYl4a5z41zExI1fJ5DyVNI6c+mrWFordpoti4wk1GHlpzy7M/f3IJBJ+P20ipU0t/O+g6EcTaDKwZGwSq4/kklUiBrUgTyO3T05k9f4THCmwB55f3zYJmVTK3z/e6vCQzZsax6gRgbz16U6qhxkpl5gYyIL5yaxcdZiM/Reuz72SSEwMJDe3ks7O4f8gx6aEoJBL2br39JDXpo6KoKC8nsIKe3CVy6RMiA1iR84ZegdNSZocHUJvfz978optx8aHBAKws8CefSV4eqGSydhXbs/4nZUqQpyNHK11XFzCnEwUtTU40C5yiRSDQkNjz9BBIv1Wy7DcO0BxRzFGhQFn+fnlgN/XfEFHXys3+Dx00UG9tiuXXdUv80XhDXxbsoT9dUs507aFXksHnuoRRLssJMn1XlJNjzHG/UnSTL9klNvDJLneS4TzXNxVMcglGprNJeQ2f8u+2lfZVPEUy4pu5JMzM/mu9CH21rxCXst6mnqK/k81MF0MNDIjvtoU8ts2X9JuRiE1MsL9v1isPeTUPETvBUxlOh9kUk/cXf+Hh9uXyKTeNDY/Q3n1GJpaXsbce/pHF1yrtY/W9o+pqb8buTwaZ/3FTT4CcFLG0W/tpKP30uPHNQns5kEyrEnuiXgoDSwvs08dWRIyDoVUxvsFopGXUirj8Zhx5DRWsa1SnKt4Q0g0kQYTrxzZTa9FDOTPjJ1ASUszy46L1E56cABTwoJ5Z28mDR1itvfApFG4O2l5ee1OGxXx4Mw0vAx6Xv56u81uwGTQ8dDCdA6cKGH7oXzbtQmCwNMPi00Rr30w/KSUB+6bSGiIO3//5zrq6i/M4OhKYlRyMP39Fg4dHn5rq9UoSUsMZnvGafr7HYtpU1LCkUoENmY4ti9PHxlOS2e3gzpmZIA3Bq2a74/b/wBdtRpGeHuyNd/O4SukUlJ9fNlVUuzwmckePhyqqXCgbSJdPOi1WChoceT53VVOVHYNHeEnQaDfOnxBsLq7Fi/VUF/3s2jvbeZQ4xaSjVPx0Vy4x3djzxm+r3iW78oepKh9O16aBMZ7PMOioBXcEbKe6/3fZaLXH0k1PcJI1yXEGW4h2mU+sYYbiTfeykjXJaS5P84krz8xy/dVbgr8jCWh33Nr8Erm+L5OuvuvCXOaiUSQU9C2mV01L/FNyZ18emYOG8ufIqvhE6q7cui3Xhu672og0vk6OvvqKGz74elD54NWEUKs+3/o7C0iu+Y++izDTxO7EAiCgFo1EU/Td3i4LUMhi6ClbSmVNROpqBlLQ/MfaWv/hK7u3fT2ldBjPkZH13pa2t6hsmYyjc3PoFIm4en2NRLJxc/P1SnEBr+Oy+D6r0lgr+quprNPDLQyiZSFfhM53lJEbksxAEallpv9R7GhIsfGtc8PjMdfZ2Dp8V1YrVakEgm/SR5HcWszX+eJUqlJgUGk+vjy+sEM27zN30wZR09fH//ZJdoPaJUKfjk9nWPl1azPFrN9tVLOrxdMIK+ynhUDQ7BBnJUa6ufGq1/soKPLvhh5mpy4++Yx7D10hp0H7EH/LBQKGX/4/fWYzX289PKaIVz21UZsrC9OehV79w29trOYkh5BQ1MHOacct65uLlqSo/3ZfMAxOxkTFYiTRsn6Q3ZjNJlUwrSYUHacKnQorE6LCOV4VQ2Vg9weJwYGUdTcRHGzfWJOmpc/LeZucgfx7HFGMRDnNDpm8n4aV8o6hxqcqaVKm0XFuWg2N2P4AYvcg42b6bf2ke7244oZgD5LNzur/8a3JXdT1ZVFkut9LA5eyWSv5wh3noNO7nHJnLQgSNDI3PDSJBDlcgNj3J9grt/r3BmygYUBnzLe43eE6KfS3lfDoYb3WFv2KJ8WzGZj+a/JafySpp6i/9P0jb82HYMiiKzGT7GeZ6H+MRjVY4h1/zdt5lyyqu+h9wKnM50PYoCfgIfpC3y9jmJ0eRmZ1J+29k9paP4tNfU3U1GdRlXtdOoa7qWp5TmsWDC5foiH2wqk0qGjHy8EKplIXXb3DV8nuxBck8ButVrY33jQ9u+ZXqnoZRpWlO+wHbsjOB2pRMInhWLzgEwi4bHosZxormF7lZghTvELYaTJm9ezMujpF3n0Z9LH09DVxf+yxMJnsKuRRYnxLD96jKIG8Ye+bmQ0MT7uvLZpL9294tZvyohQUsP9eGv9PloGBlvLpBKevWsqtU3tfPDdfofvcPOcREIDTbz2/lbaO4ZSHv5+rvzi0alkZZeyZt2Fe05fCUilEkaPDmNfRsGwg7gBxiQFo1bJ2bxrqLHQjNRIKutayBnkHSOXSZk+Mpzt2QW0ddm/74z4cLrMvew8Zc/Qp0eKevGNp+wLy6RAcSrV1iL7eWO8RI38nspi27FAnQEXhZojDY5/1EE6Nyo6m+g5p4Cqlalp6xvera+9rx0n2fntd7ObdxOii8ekGtqley7M/R1srHiKgtbNxBsWc3PQV4x0vQuF5Oo6QgqCBIMykHDnWYz1eIobAz/l9pA1TPX6G+HOs2nvq+Fg/Vt8U3Iny4tvYV/tvynvOPh/LpsXBAkjXZfQbC7mdOu6S/4ck2YqsaaltJlzOVy1iM7eKzODWCb1xEl3F56mLwnwKcTX8xAebitwNbyKyfV9vNw34ed1Ah+P3WjVsy6r6CyT6JAKGsz9l66uuyaBXS5RsKvOLudRS5XM9kpjb10ONd1iVmZS6Znrk8B35Udo7BlQsQTE4Kd14c0Te2xa6ycT06nsaGP5QNY+wtOL6cGhvHfkEM0DXiSPpI9CKZPx751i96lEIvCb2ROobmnj070i/y4IAk/On0BbVw/vbbI3KMWFejNvXAzLNh+heNAwaJlMytMPTaehqZ13vxhemjRzRjxJiYG8//7On5ySmTolho6OHvZlDM/TqVUKJqSFsW3fKXrOMQWbnBKGWiln7W5Hg7Pr02Lp7u1j8xF7cTUlyBcPJx3fHbUvEIFGA9Ee7qzPtZ/n7+xChKsbm8/Yg72nVk+U0cT2cnuwFwSBZJMfmXWO3XoRTl70Wy0UtDk2OrkqnWk0tzoMmjiLPmsfUsnw/HuTuZb6ngoi9EnDvj4YPf1tbKh4gpqu40z0+hOjTA+jkl6YfcTVgErqQqB+PGPcn+DGwM9YFLSCse6/waAI5nTLWjZW/JrPz1zH9qrnKWrbQd8wk5R+jgjSTcJDHU9m3X/pvgye3KSdykjPjzBbmjlcdTMt3Ueu4FWKi5BM5oNalY5euxiteg5KRTxS6ZVTEUkEBZbLWJyvSWDXy3QUdRRT3mmnAa7zEcedra3cZzt2R9AYeix9fF0qZvdyiZQHo0aT1VhJRq2o+hjnE0iSuw9vZe/HPFDYe2J0Oh1mM+8fEbN2N52Wu1MT2XAyz+ZlkhLsy+ToEN7bkUlTh7gARPiauD41hmW7sqioH2Tje9M4VAo5S7/a6fA9osO8WDhrJCs3ZZFXOLTbUxAEfvXLGfT29fOfN4Z2rV5NJIzwx81Nz8ZNOec9Z/bEWDo6zezY70jZaFQKpqSE8/3B0w4UVGyAB8GeRlYfsAd8qUTCnIRI9uaV2GSkAHNiwsmprKZkkI3vjJAwDlVWUNth5z8n+QZzqLqClh67FDLV5E9JexOVg/TsZ2ec5rY4UkcmpTP9VguNZkftu9VqxYoVyXn+xIs7RA/+EN0P+4RYrRa2Vz1HQ08BU73/dlFNND8VdHIPIl2uY7rPy9wRso5p3i8TqBtPecdBtlb9kc8Lr2dn9YuUd2T+rAuwgiCQ7v4kZks7u6pfvmRKBsBFlUyy1zJkEj1Hqu+gpOW9y/q8a4NLjxfXJLBrZVokSMhosNMb7ioDo1yj2Vx9kL4BRUSw3p10Uxhflxyk1yJSCgsC43FTaXlvYBiHIAj8ImE0lR1trDojPqwRrm7MDgvnk+yjtqz9ntQknFVKlg5w7QC/nD6GTrOZD3Zm2o49PGcMMomE19fY/SOMThqWzBvF3uwiDp103NrduygdZ72a/3y0fdjA7eNt4O4l49i7N5+t23KHvH61IJVKmD0znsxDhdTWDm2oAhgZ64eft4FVm4Zahc6fGEdnd69DEVUQBG5IiyWnqMrBo31Bcgx9FgvfHbF/v3kxkQjA6uP2988Nj8AKrM+3Z/LTA8Los1rYWmYvFKV7iD70e6rtmby32gVXpY6sJsf776sRNcLlnY7+8IIgoJQo6e4fftJVQ08VAhLclD/synm6ZS3lnQdIM/2CAF36D577c4BMoiRAl854z2e5LWQVs3xeI0g3geL2XWyseJJlhQs5UPcmTT0Xrxn/KWBUhpBqeozSjj1kNV68D8xgaORBJHutwE0zhTNN/yK75n56+oafg/BzgsVqptfSjEJ64fNjz8U1CexSQUqMczT7Gxy7zWZ5pdFobuNgoz0Y3Bo4mvqedr6vErNEpVTGnWHJ7KouJK9F/JEm+gYR4+rO2zn7bQqLx0aNpqPXzP+yxG2YXqXkvtHJ7CgoIqtC7IIM9XBjXkIUX2RkUdsqZpEeLjrumJzExiOnOVFq11jfPDUBT1c9ry/f7XDNeq2K+xalk3WinN0Hh6c9blyQQnS0D2+8+T0trV3DnnM1MG1qLFYr5/WMFwSB+TMSOHa6klNnHPXksSFehPubWLEty+H7zh0VhVwm5Zu9dm+PIJORxEBvVmQetxWKPZ30jA7yZ1VOru03CTW6EuVmYvVp++87wuSFh0bHxmJ7sA93NuGp1rOjyn4/BUFgpMGfI40lDtfjPxDYz1oLDIZaqqKrf/j73dxbh5Pc8INWuBZrH4cbPsBTPYIo5/PPrvy5QiLI8NEmi0E+eDVTvP6KmyqK401f803Jnawpe5QzrVuuWcPU+RDjspAQ/TQON7xPfuvGy/osudSZWNNSIlyfo7knk4OV86hq+/Znnb13DRRNldLzK7p+DNdMxz7KmEy9uZ7SztJBx6JwkevYUnPIdmy0KQQ/jZEVpfasenFIIkqpjI/zxGOCIPBQXCqFLU1sKRWDQYSrG9NCQvk4+6hNIXN7cgIuahVv7rZz6I9MTaPPYnHI2u+akoSLVsUba+y0kEoh54EbxnCyqIYtBx0beOZOjSfAx8g7n+0e1uFRKpXw5K9m0N7Rw8efXF6r8MXAx8fAiHg/1m3IPq8yZ/akWDRqBV+uPuRwXBAEFk1L5Ex5A5m59t/IqNcwLSGM7w7k0jHISOyWUfGUNjSz/4z93BtHxFDe0kpGkf3Y/MhosmuqbW6PEkFgTlAEO8oLaTX32P7vSd6h7K4udJiylOwaTFVXs4M6xlXhjItcR17bUAc9F7kLTb1DJZIAPf1dKH+k8Fnavo+u/kbiDbdeNnfa299Ka88xajrWU9z8LoVNr1PYtJQzTa9R1PwmFW3LqevcSmtPzmVJ9c4HmURJkH4i031e4tbglYxye4TOvnq2Vz/HssKbONrwEZ19w49V/KkhCALjPH6LtyaRndUvktey4bI/z0e/iBSvb9HIAznZ8CxHqm+n3Ty0j+PngKYukclwUSX+yJnnxzUL7CNdEhAQONRkL2zIJFImuo9kf/1x2gesWiWChIX+KRxpLOHMQOHMqNRwvX8Mq0qO0WIWz5sdFIGvzpl3jw2iVZJG0drTwxfHxC5RrULBPalJ7DxTxPEBrt3P6ML1idEsP3iMmhbxgdKpldwzbRQZp0o4PKhpaVZ6FKF+bry5Yo+Dta9MKuGROydQWtnItxuHn3EYHOTOvLkj+W7N0Z/US2bunJFUVTWfV9Ou0yq5flo8OzJOU3VOw9X0tAiMTho+2+AY9BdPSKCj28yaA3bqZXpcGAat2ubFA6Ls0UWt4quj9uz++sgopILANyftu4jrgqPo6e9n06CsfapPOJ19veyrsV/3aDdRa55R55jJRzr5c6ptaKetUWmkwTx8sOq1mpFLfnjgdV7rBjQyE77aUT943vlg7m+kvPUzMitvZHdZCoeqbuRE3RMUNr9CccsbFLe8TWnLexQ1/4fTDX/kWO0jHKq6iV2lSewrm0xOzUMUNb9Fc/ehi57x+UNQywzEGxdzc+CXTPf+O0ZlMIcbPmBZ0Y3sqfkXbb1Ddz8/NWQSJdO9X8Zbk8SumpfIbvzssmtUWkUoiZ5fEOn6Ip29Z8isnM+p+j9dkjvk1URD13ZUMh/UssBL/owrEtgFQZgpCMJpQRAKBEF45kLeo5frCdWFcKzluMPxSe6J9Fr7yWiwH7/ONwGZIGFthT1o3h6WTHd/HyuLxfNkEgl3xySSWVPOsYE29RGeXoz29eOjrCO2wurtySPQK5W8l2FfAB6clEq/xcKHu+wB7OZxI3Bz0vDuBnsdQCqR8NhN46isa2HNOYqRMUnBJMX588k3++k4T8fnkjvHolTK+fiTy/OBuBiMGxuOq6uOr5YfOO85N81NAkHg63WO6gGFXMYt00ay/3gJBWV2bjIu0Iv4QC8+23HENk5QIZOxIDmGbblnqGgSFwilTMaC+Bi25J2heoDqMmm0TA4KZkXuCdtvkmDyItDJhW8K7Pd0tHsgTnIVa0vttI2/1hU/jZHdtY47phjnYMo6a2kyOyqPPFUe1HbX0j9MwVCKdNjjZ2G1WqjqOoq/dvRFDXIAMPfXc6LuN+wtG0de41+x0kewy6+INb3OKO/VjPc/wqSAU0wOPMWkwFwmBhxjjO8Okr1WEGd6k2CXJ3BWjaSzr5Si5qUcqb6NXaXJHK2+m7LWT+jqvXR982AIggR/3Rhm+r7CjYGfE+40m7zW9SwvWsTu6r9f8wAvk6iY7v0yQbpJZNb/ly2Vv6On//LUZYIgwVu/kDSfjXjrF1HV/i0Z5dPIa/grPX3nt7v+qdBuPkVD1y48tTdc1i7xsgO7IAhS4E1gFhANLBYE4fzmHIMQ5xxLUUcxrb32HyvSyR+T0oVddXYvFqNSR7opjLXlWbYuwxiDJ/FGL748c8S2kt8UFodGJufjXHuAui8xmeqOdtbni9sunVLJ4qR4Np0qsCk2fI3OzE2I4uuDOdQPKDtUChl3TUnmQF4ZWYV2PffouEDiQ7358Lv99AzSiAuCwMO3j6e5tYtl3zlmuGfh7KzhpoUp7Nx16rwmXVcaCoWMmxamcDSr5LyOj+6ueqakR7BmSw5tHY7FxgWT4lEpZHy+0XHKzV1Tkiivb2FLll1RszgtAUGALzLsv92tSfH0Wyx8ddSeyS+Kjaehq5MthWLBVBAEFobGklFVSmmb+JsopTJm+EbwfcVpugcGbwiCwHiPCA42FNLZZ188R7qEAZDV5Kju8VH70Gfto6Z76BAHhVSN2TJ8YRWgyVxMr6UDD/XF+Y43dO5kf8Vsajs24Ot0O6O8v2OU9yoCXR7GXTsdnSISmUTr8NBKBAUqmRdOyjhM2qkEujxEjOkV0nzWM85vP3GmN/HW3UJPfw35jX8jo2IKByuuo6Tl/StWDHRR+DPW4yluDvySKOfryW/bxNdFi8moXXrZwfRyIJMomez1F9JMv6S0I4OVJfdS0TH883UxkEsNRLj+iTTfTXjqbqCi7Uv2lU/hZP3vaOu58KHRVxIWax8FTf9CKmjxc7rrsj7rSmTso4ACq9VaaBXt0JYB11/IG6OcRL/hs2ZNIFIv6W5xHGnKc+gonO0zgrqeNo422rfci4JHUtBaT/ZAl6KzUsWC0Bi+Kzxlk89NCAgixGDko2x7k9BdKSORCgIfHbQvAA9MHIW5v5/PM+y7ghvT43HRqmzDr0EMLg/MH01tUzvr9zmqXCJDPZmYFsbydYeHBMizuOXmVFyNOt59f8dPJn+cOycBFxcN731w/v9z8fUpdHX3suKcrN1Zp+a68bFs3H+KqkF2xRPjQwhwN/C/7w/ZPtPLRc/02HC+PniMtm4x8PobXJgUFswXR3JszWDj/QPx0TvxWc6gex0Wi0QQ+Or0INomIJaOPjObK+wZ+iSPKMyWPoesPVTvi16mIbPR3hULEKARG6AKO4bSUFqpno6+4dVCAK1mceE1KILOe865qGr7lpzah1HJvBnlvZow47O29vBLhVxqwKSdSrjr70nzWU+azyZCDc8gkWg40/RP9pVPIKfmIeo7t12RgqBO7sEYjye4JXAZ4c6zyW3+lhXFt1PQ+tPKdQdDEARiDTcyz+9NJIKUDRVPsL3q+StSE1DLfIhye4FUn4146xdS07GezKobOFx1G1Xtq+izdPz4h1wBWKy9nKh7ksau3YQYnkQuvbxxh1cisPsAgytX5QPHHCAIwgOCIBwSBOFQXZ2YZQRqA5AKUofADpDmGoPZ0svRJvvDO949ApVEzqZKO0Uz2z8alVTGiiJ7hnhbZAI9/X18ky+eJxEE7ohPIKemmqwBT3CTTsu82Ei+zTlBc5cYgANNBqZEh7IsI9vmVqhWyrltYiK7TxRxqmyQW2G0PzHBnnyyLtPmLXMWd904mo5OM9+sH77bVK1WcOcd6Rw/Uc7+A1fG9/nHoNEoueO2dLKySjmYOdSHHSAs0J1xKaF8tfbwkE7a22clIwCfrLfTV1KJhCVTkzlVXkvGIP+Ye8Yn0dFjduDal4xKpKmzi+8GpI9SiYTb40ewv6KMU/Xi34K3zolJvsF8lZdjMwBLdQ/AR+PMN4N+35HGANyUOjZV2hcAqSAh2RhJZuNJh0YlH7U3Gqma/LahaiVnuRs9lk66+od/cDv7xeKuRuY67Ovnoq5zKycbnsVFlUqi52doFRfuPXMx0MgD8Xe+m2SvZaT6bMDf+V5azcfJqX2Y/RUzKGv9lH7L8J24FwOt3J2xHr/hev930ck92FH9VzZUPEl777WjK9zVMSwI+IiRxiUUte9gRfFtHGv66oo0YGnk/kS4Pke6705CDb/F3F/LyfrfsrdsLLn1z9LQuYv+q9To1Wdp53jt49R1biLU8Cy+Trdf9mdeicA+HBE0ZGm3Wq3vWq3WZKvVmmwyiV7cCokCX7UPJR2Oha84lxBUEgWHm+xVa7VMwVj3cHbU2B9evVzJDN9I1pedtPG10a7ujHDz5Ku8Y7YMY0FUDFq5nC+O2wPE3alJdPX2sSLLvlDcPS6J1u4eVg/SYy+akIBOpeCjrfbtnyAI3DVnFBV1LQ4GYQBhQe6MTgxixfojQzo6z2LWzHi8PJ35/MuMYV+/Gpg7JwFPT2c++nj3eTOvJTePpr2jhy9WZzoc93R1Yu7YGL7bdZzqBnuWOyc5EpOzlvc3HbB9ZrSPB2NC/flkzxGbf0xqgC/RHu58eOCITfp4c3QcKpnMJkcFcVGu6+qwSR8lgsDCoHj21hTZPNqlgoRpXrHsqcu3zUIFMRlo7m0nt7XYdkwiSAjThXGy1TGTBzAqxcEb9T3D01O9A8FRcQEmTharmfzGF9HJIxjh8V9kl2D8dCnQyoMJMfyaMb7biTG9hlzqSn7jC+wrn0RJy/v0Wy5fWuumimCe39uMcX+Suu5cVpbcQ1n7T/d3ey5kEiVJbveyIOAj3FXRHKh7g+VFi8htXkn/FZjxKpc64+98D2k+m0n0/Bx37WzqOjaRXXs/u8tSyal5hIq2r+joLbzsHUxvfzOlLR9xoGIe9V07CDf+CX/nJZf9HeDKBPZyYPDASV9g+KdlGPiqfanocjxdIZER7RxIdpNjpjXRI5K6njZOttir2PP8o2kxd7O3xp6J3hQex6mmOk4MmEvpFAqui4hibd5pWgcomgh3N1L8ffjiSLatAJgQ4E2crydfZGTZ5IF6tZIFY+L4/mgelY32oDZuZDABngY+Wjt08sutN4yiubWLtVuHn+Mok0m5ceEocnMrOH7ip+Ha5XIpd9yWzum8avZlDG8OFhHswdSxkXy15hB1DY686j3XpQLw/mp7MVkhl3HPtBSOnKngUL79ezw0OZWG9k5WZIrfXxAE7hudTGFDI1vzxF2KQa1mYVQMq0+dpK5DzJon+QUToHfhfyfswf6m4AQEQWDZGfsOaJ5vAmZLn0PWnuoajVyQsbvO0Sc/1jmamp4a6nocuWgvtUixVHUNrxYSBvKVCxklV9X+Ld195QQbfo1E+GGlzdWARJDjoZ1NstcyEj2/QK+I5UzTP8momEZ56xeX1Zoufr6UaJf53OD/Plq5O5sqn+Zw/QfX1HTMReHPTN9XmO27FL3ci321r/JV8SJONK2g9wosaIIg4KJKJsrtb4z1y2CE+3t46RbQZj7J6YY/caBiFnvK0jmCQvtNAAAgAElEQVRW+wuKmt+itmMTHeYC+n+gbmOxmmk351PbsYHc+mfZWz6egqaXUMk8SPL8HF+n2y77us/iSgT2TCBMEIQgQRAUwCLguwt9s7fai6bepiGNJCNcQinurKa1175VHusejgSBXbX2TD7dIxhnhYp1ZfaCx3XBUSgkUr4tsGfji2Pj6e7r47vT9uzttqQRlDe3sqfQvmO4fUwCRXVNZBTY6YWzsz6X7bJzwlKJhDvnpJBfVsfBE47dkAnRvsRF+vDF6qFUzVnMnBGHXq9i5arDw75+NTB9Wix+fkb++96O85qDPXDrWCwWK+8vc5zc7unqxMJJ8azdfYKiSrtX+4IxcZictLy5bp/tQU8K8iUlyJcPdx2iZ4BXnxkVhp+LM2/vtS+E94xMotfSb8vaJYLAkuhEDtdWkFUnLt7eGicmeYWyvDDbpmmPcvImTO/ByjL7vdPKVCQbI9lVm+1g4xvnLBY/s5odrRUMcndUUi0VXcM3lUkHAvSFbPPLWz9Hr4jDVT3+R8+92nBRJZHg+QEjPT9DLfMnr/E5MisXXBG/FGeFH9f5vUOY00yONn7EvtpXr7mjpLcmkbl+bzLL9zWc5N5k1C3ly8IF7K99nRbzlUmapBIlrprxRLj+iTG+20j12UCk6wu4qsfRZj5JUfNSjtc9zoHKOewsHcGOkgT2lk3iYMV1HKiYQ0b5dPaWTWBnSQIHK+dyvO5X1HVsxEs3nxTv1SR5LcP5MjTrw+GyA7vVau0DHgM2ASeB5VardfhWx2HgqhQ5zEazo8VmpF4sfBW02X8cF4WGaBcf9tfbuWmFVMokr1C2VxbQN5B5OytVTPQNYk3RKVs2HmNyJ9LNxLcn7TTL1IhQjBo1ywfRMdPjwjBq1Xy53x7EPQ16JsWHsirjuIM97Yy0SIxOGpZtdnxoBEHg1utTqKlvY+d+R2neWajVCqZNiWHP3jxaWi6fE70QSKUSHn14KuXljaz4NnPYc7w9XFgwM4ENO05QVOaot7/nujTUSjn//dbeuKWUy3hgVipZhZXsPmHPfh+ekkZtawcrMu1y1AfHpHC8qoZdZ4oBCHIxMDssnM+OZdHaIwbQm8PjcFIoefeYvWB9R1gyDT0drB9YvAVBYIFfMrktlQ7eMVM8Eqk3t5DTbP/78FJ74qXy5EiTY81DEAQCNFEUdwyvgFAPcOtd/T9coOvuq6ajNw937cyfZIzchcKgSiHR83PiTG/SZ2njcPViTtX/kd7+4Ru2LhQyiZLxHr8jzrCYky2rfhbBXRAEfDTJzPV7g3l+b+GrHcWJ5m/4ungxG8uforR97xXzyBEEAa08GG/9TUSb/s4Y3y1M8D9Kite3RLv9ixDDU/joF2FQpaKS+aKRh+CkjMOoHoO/8/1Eu/2LFK+VjPXbT4Trc+gvY2D1D+GK6NitVut6q9UabrVaQ6xW698u5r3GAb/sxnMaScL0IruT1+646qa5hXC8uZyOQXK3aT4RNJu7OFJvP/e6kChqOzvIrBGPCYLAgshosmqqKGwS/y+FVMr8+Gi25xfaBnEoZDJuTIlj56kiqprtdMSi8Qm0dvawaZCzoUIu48YpI9ibU0RptePClJ4cgq+XgeVrz5+Rz549gt7efjZsGp6yuRoYlRJMenoYn362l4qK4f2q71iYikop5+1Pdzkcd9GrWTwjkW2H8jlRaKfDbhgdi5+bM6+v2WtbSEcF+5Ic5MN7Ow7aFsMb4qPxcXbiP7sybMHg4eRU2s1mPs0RA69OoeS2yAQ2FOdR3Cpe31iPIEL0rvwvz57tz/EdgUoi5+sS+wKV5hqDRqri+2r7ogCQaEjkVOtp2nod6aUgbTT1PRW09g4N3lqZ6NPxY8XCpm6RmnJVj/3B864FBEHApJ1Kqs86/J3uoar9Gw5UzqWx6/I4ckEQGOX2sC24H2386Mpc8BWAhzqOyV7PsTh4BYmu99DYU8DmymcGPHLeuioeOVKJBr0yBk/dPAKc7yfM+AzRppeJ93iLOPf/EGN6hSi3lwgxPIGnbh56ZTTSqzAYfDCu6Wg8AI1UbOs+l4rRyzUYFU6UdTpqkJOMgfRbLeQ02YU46R6BSAWBXdX2TG2yXwhKqZRNJXY+eV64aEy1Js9OxyyIj6bPYmHtiUHHUmKwWK2sOmzfeCSF+hDkYeTbfY5B+IYJ8UilElbtcNzqSyQC82eM4EReFQXFw2uNg4PciYvzZe26oz/pMI7HH52GTCbln6+sHzbbcnHScNeNaew7XMj+o44Pwm0zkzE6afj3lztt75VLpTw2L538ynrWZdqz6senp1PX1mGTkCqkUh4Zm8qxqhq2DUxYija5MzkwmA+OHrZZP9wdk4RcIuGdnAO2z7onIpUTTdU2V08nuZo5viNYX5FNs1lclJVSBZPcR7KzLpu2QfNRU40pWLCQ2eS4yIbpEwDIaxtKUzgrAgBoNhf/4L3sHpixqZZduCzyp4ZMoiXU+FuSvb5BJtGTVXM3hU3/viyPmLPBPcxpJkcaPqSk/adrursQaGRuJLrezaLgFUzxegE3VSTHm5bzTcmdfFtyN9mNn19Thc/VxjUP7CqpOKi4u3+YYRUaD8o6HW9+vMEPCQJHm+y8uF6hItHNl92D3AC1cgXjfALZVJxvC0AeOh2pPn6syTtlOxZmciPW051Vx+xbcj+jC6khfqw8fMIWcAVBYP5o0dkwv9JOUbi5aJkwMoQ1e05g7nV8UGZNjEEhl/Ld9+efnn7d3EQqK5s5crT4B+/TlYTJ5MSD908i51gZ328ZnjW7aU4ivl4Gln64zaERS6tW8OCCMWTnV7I1075oTksIJ9rPnbfXZdA9cH5SoA8TIoL4YEcmzZ1iUWl+fDT+BmeW7sywKWQeTx1Nc3c3H2eLAdZDo+Pm8HhW5B+nsl0sWM8PjMNNpeW/J+000OLANHosfXwzyEdorvcYzJZevq+2H/PX+OGt8mJfvWOm6qEKwFnuyqnWoQ0vKqkTGqkbjT0/LEk199cilxiuegZ2JaBXRpHi9Q1euvkUt7xNVvXdlzVlSLTZfQo3ZSQ7qv/6swyUEkFGkH4C031e5tbglaSZHkcqKMisf4dlRTeyuvRBshs/p8V8ZQZy/FxwzQP7WQzHTnqoDNR1O3KCWpmSQJ0bp1oc/R1GuweS21xDm9lelZ7qF0pFRyv5zfZi36ywcAqbmihotG+/58VGcaK61jZhCWB+UgwVTa0cLbUrdualRiOTSli9/5wBFONjaWnvZm+2Y3brpFczPjWMLXtO0ds7PMc3bmw4Wq2SredxYLxamDUznugob956ZytNTUO13Aq5jCfvm0JZZROffuM4PWreuFjC/Ez8e9kOugYknRKJwBM3jKeqqY3Pd9gz4CdmjqW9x8w728TPkEkkPD5+NKdq61ifKxbB4z08mRIUzHtHDtlUSw/HiyqcN7PF9ymlMu4JH8WemiJyGsTfJFTvQZpbCF8W78c8UFgN1fsS7RTI6oo9NlmsIAiku40hv72A6m578BF9ZkaR35ZFzzAukCZVFDXdx4ccHwyr1YJwkZYD1xJSiYYot5eIcvs7rT1ZHLrMKUMyiZIp3s9hsfZxsP6tK3ilVx5qmYFYw01c7/9fbg5cRrLr/Vit/WTWv8PXxbexovh2DtS9RVXn0Z+d4+XF4poH9rN+HcNNiHdTOtNobhsyrDjcyZO8VkcfixSTPxarlUP1dopmgq+4PR48oWdasNg4srnQnm3OigpHANbl2tU2k6NDUMtlrBk0GcigUzMxLph1mScdTMBGxQZgctGyds/Q4DxjQjSt7d3sOzJ8Y5BCIWPc2HB27807r1LlakAqlfDUr2fT1WVm6evDdxWOSghk+vgoPlt1kNLB06OkEp6+czK1je18OGhkYEq4HxPjQvhg80HqW8XFIszTjQXJMXy5P5vSBnGRnhsTSYS7G6/t2GfrP3gyLZ3Wnh7ePSxmzz46J24Oj+OrvBzK20TvmVtDk3BWqHjzpF2xc1fwWOp72llXYd8VzfcdT2V3PQca7IXydLfRCAjsrnOkDOKcx9BnNXO6bWgtxFMTT1tvJR195zdtEyfdXDmDLqvVQr+lmd6+YnrMWfT2lVwVi1kv3Q0keH5Er6WZw1W30NZz6bMC9HJvRhhvp7BtG1Wdw5vg/dzgpPAhwfVObgh4n1uCvibN9DgamRsnmr5mXfnjfHZmHt9X/p7c5m9p6im+pgVii7WPk82rOFD35gW/55oH9vY+0RxKI1MPec1JpsWChc4+R21oiM6d6u4WugZZDiS4eiMRBLIa7Bm2t86JEGcj+yrtGYmnTk+8hyfbB83e9HTSMdLXm82n7NI3rVLBpOgQvj+eT2+/PYjPGxVNU3sXGafsVJBUImHmmCj2HSumsdVR4ZIyIhCDs4bNO8//4EwYH0lnp5mjWUMdCq8mAgPcWHLnOHbtPs3adcM/kI/eORGlQsYr725x+OMeEebDnPRoPt94mJJBheMnbhhHb7+Ff6+y2xM/NnU0cqmUVzeKxySCwG8mj6OsuYUvDosBOcrkzrzwSD7MOkxNu/g38dgIMRgvzRLpF71cyd3ho9hSkceJJnFhT3MLIdLJiw/P7LINaBnrFo9J6cKKsh22azAoDCS4jGBn3S7MFruyKUAbiV5mJLvJsVAM4K0Wx+ZVdAyvIAKQSVzos7RednDv7SumvukpSiqCKauMoqJ6NFW1s6ioTqO0MozKmtk0ND1LV/cerFdI4eGiSiLZaxkSQcXRmrto7fnh3ckPId5wKxqpG0ca/ndFru2nhF7uSazhJmb7/pvbQ9YyxesFAnUTaOjOY1/ta3xTcgefF17Plso/cKzpK2q7cq9IM9SPwWq1Utaewbcld7O39hXqui/cw+aaB/amAZmjQT50mrxKKvKWXefw735acfp3Rac9oGhkCsKdTEOm24/28iezpswmhQSYGBDE0eoqGrvsQXhaRCinausobRo0yi0unObObjIL7WqbMVGBOGtUbDjs6OU8e0w0/f0WNu937HKUSSVMHRvJvsOFtLYN3zgxMiEAlUpOxv7hNdVXE7fcnEpKchBvvLVlWDthV4OWh24bz+FjpWw6Z3F69KZxKBUyXv3cPj0qwN3AHZMSWZt5kiMDlscmJx33jk/m++MFtns5PiSQscEBvLl7v83W4dej0+m3WFh6QAzk3jon7ohKYEX+cQoG6LQlYSk4yVUsPS4GYkEQeCBsImWdjbaGJZlEygLfCeS0nOFkq32xnOE5jba+dvYPmtwlEaQkGMaT13aU9j5H2s+oDEUjdaWs4/wqErXcD7DaiqgXi35LE3WNv6CiOp32jhXotAsxOP8FN8NS3F0/wtXln+i0i5FItLR3Lqem/ibKqhJoaHqW3t7L/3vRyINI9Px0oKh6L+3m4ZvXfgwyiZI44yKquo5Q0/XTqbyuNBRSLUH6CYz3fIZFwV9zc+BXjPV4Gj9tKg09eRyoe4Pvyh7k44IZrCq5jz01/yK3eSWVnUfp6mu67MzearVQ132Sw/Xvs6L4djZVPo3F2sdUr78xx/f1C/6cax7Yz3KebsqhY6DkA4OI+87JULzV4iJQ2en4IMYaPcltdizgpHr60dHby8lGu7pmQkAgViCjzE7bTIsQKZodBXaefGx4IGqFnC0n7A+QXCZlSkIoO4+dsTXfAIT4uhHub2LzgaHm/TPGR9Pb18+uA8M/iAqFjMSRAWQe+unHlUkkAr99ei4ajYIXX14zbC3g+ukjiAn3Yun/tlPfZB8C4eai5cH5Y8g4VsyWTLsM9P4ZqXga9Lz89XZbg9aScUl4ueh5cY392DNTxtPWY+Y/A+MK/Z1duC1uBMtzj5PXIC4yj4xIQy2T8c/DYravV6i4PzKNrZX5NnnrRI9IwvUevFuww5a1z/ZKQydT81XpVtt1Reoj8FP7srHakXpKNEzCQj9HGrc5fG9BEPDTjaG8Y/95G5W08mAA2s3D9yv8EKxWK3UND9DRuRon3QP4eh3AzfAKzvoH0WlvRqOegV53O64uL+Bp+ho/7+OYjO+hUo6hvXMZFTUTqG98gt6+oUNGLgZquS8jPT5GIsjJqXkQc3/Dj79pGEQ6X4dCouNk86rLup6fE5wU3kQ6z2OC5++5JWg5i4NXMsXrr8QabkEh0VLYtpV9ta+yvvxxPi+8jk/PzObbkrv5vuJZMmqXcrThY3KbV1LYtp3S9n2UdxygovMQ5R0HKWzbzqnm78hu/Iyd1S+yuuQBPimYyerSB8hq/BS1zMg4j9+yMPATAvXjL6pP4poH9sKOIjyUHmhlQ6fZnA3oMsFx0ryrUvTiaDQ7Fv3CnEzUd3fQ1GPPxBPdxZmWR2vtxdY4D090cgX7yu0Ujb/BhSCjgZ0FxbZjKrmM9LAAtp884yBHnJoQRmdPL/tPOVInU0dFcPxMlYOfCkBEiAde7s5s33/+iS2JIwOpqmqmuvryGkguBUaDlqeenEVBQQ3/+3johCeJROD3j82ix9zHP952DIo3TU0gKsiDVz7bTuuAo6VaKeepBRPIq6xn+W6RalEr5Dw9ZwJ51fV8dUA8Fu7uxqLEeL48nE1+nRjIfzFqNDqFghd3i4PD3dRaHoxLZWNxHodqxKz4rrAU3FRa/pUj7hQkgoSHwidT0tHA+kpRdqqRqbjBZxx7649R1C7+9oIgMMtrBhVdleS02LNKd5UfwdpYDjRsHOLRHqKfQq+1i9IOx07cs9ApIhGQ09pzfuXT+dDZtYbunj0YXZ7H6PJnZFKPHzxfIqjRaubi7vpffD0zcdLdS3vnSiqq02ls/jOWyzD/Usv9iHd/G7OlgZzaRy/J8EouUROin0pR+07M5zFX+78OrcyNIP1ERpkeYrbfUu4IWc/ioG+Z6fMqaaZfEOo0Ha3MndbeSvJa13O44X321b7Ktqo/sbnyt2yseIoN5U+wseLXbKv6E3tq/0lm/X+p6DiIXKoh3HkOEzz/wG0hq5nr9zoRznORCucf33g+XNPAbrFayG8rIEQ3vAa4Z4BDV5wzl9KgEBeBs/rlswhxErP+M632jMNH54RJrSWn3h7YZRIJKT6+HKhwzHTGhwRysLSMnj57Jj4lOoTa1g5yK+07gZQwP3RqJdtyHKVwU1JEX/Dthxwzc0EQmJgWxqGc0iHOiWeRkCB22mZlXxvZVfqYcObMHsGyr/YPSwn5+xh56LZx7DtcyLptdi5WKpHw+yXTaGnv4rUvdtiOTxkRSlqkP2+t20dNs5jlT4sJZUyoP//ZvI+6gcEbj48fjVap4G/fi7p4g1rNYylp7CotZttAHeT+2GTcNVpeOLANq9WKVq7gseixHKgrtc1FneQRRZSTN+/kbbMNPp/vOx61VMmnJZts15VqHIVRYWRt5XqH75fmNpvm3npOtjgOJPFUJ6CVuZPXsm7Y+yYRFDgpY2nuvniP8Nb2d5HLItBr77jo90qlbhhdnsfXcx867U20tr9LZe10esyXXrx0UsYR7fYPWnuOUtD04iV9RpjTTPqtPeddCP9/g9iJasJXm0Ks4WbGuD/BDJ+/szDwY+4K3cTdoVu5NXglCwI+4nr/d5nn9zZzfd9grt+bLAj4mMVB33BX6GZuDVnFbN9/M9r9l4Q5zUAldbms67qmgT2vLZ+2vjZGGhKGfb3J3I4ECU5yx2xeJRUD/WC/dgA/nXgzKjrsI94EQSDa6E5uo2OjU7K3N4VNTTR12Xnv0YF+9PT124Zdg0jHCALsPl1sOyaXSUmPCmDPiSKHTN7Pw0Cwjyu7soZqn8emhNLfbyEzp3jIawCBASa0WiUnci+Nq70SeOyRqYSFefDiS2soLRu6Hb9xdiIjY/x446Md1A4yCQsPcOfOOaNYtzeXjGPFgHjff3fzFHr7+/nHiu22Y3+4fjI9ff38a4O4MzBq1Pxy/Bj2FZWy6ZTI7945YiTBBgMv7N6Bub8fjVzBb5LGc7SuitWFYgFpUchIAnVG/p69jT6LBUEQ+EXkVCq7mvmmVFS4OMm1LPCdwO66bJs1hUwiY5bnDPLa8znVat9BRTml4KrwYnfdaocdiUSQEuE8l/LOTFrNw3vbGdVjaTXnYP4R+4HBsFg66DFnoVHPQDhnR3oxkMm8cTO8gofbcqzWTqpq59HcuvSSlTTu2hn4O91DRdsy6jq2XPT7Taoo1FLjD9YlriSsViutvY2UdeZR2H6M062HOdGyn9OthylqP0FF5xkae6p/cKjK1YRUokAjc8OoDMGkisJDHYunZgSe6niMymC0cnfkkqHCkcvFNQ3sO+t2oZAoiHOOHfb1up5mjAo9EsHxMiWCBJkgxWxxlAd6a5wAqOpypEIijSbymxps7e4AiZ4iRZNVYw/iKf6+SASB/cX2TN6o0xDj48HefEfaZVxMEA1tnZwqd1wwxo8MIet0+ZBBGzER3uh1KjIODy97lEgEYmN8OXbsp3F7HA5KpZzn/7IAmVzC8y+sGmI7LJEIPPPIDPr6+3n5zU0Oi9o981IJ8DTw8kdb6OgSF1x/kwsPzkxja3YBWwcmLQW4Gbh3QjJrs07ZBl8vToon0t3Ei9/vpMNsRiGV8sdxkyhubuLDo2KQvjEsllhXD146uIPOXjNyiZSnR0wiv7We5YWiHcFot1CSjUG8m7+d9l7x/t/kNxG9TMOHRfaMe4JpHE4yJ1ZXrrF/N0FKumke5V35FHU4ylYjnOYiIOFky/DcsWj+ZaWha6iy5nww9x4D+lEqLm2e6rlQq8bh7bENjXoOza0vU9/4GNZLdHUMNjyBXhHDqYaL95YRBAm+2lTKOw5eFZmm1WqlovMMays+4J2CZ3jhxB38/eR9vFPwDB8U/plPiv/GFyX/4JPiv/F+4R95q+A3vHL6EZ47fivPHb+VV089yoeFf2Fl+Vtsr1lBTvMeKjrP0P3/GXV0zQJ7RVclGQ0HmOo+GbV0+BWruKMKf+1Q3tFqtdJvtQzh3jUyBWqpnMYeR4om2NmI2dJPRYc94Eeb3AHIrbMHZr1KSYS7G0fKz1HWhPpzrKzaNoADYHSk2HK+76RjwE+LC6TfYuXQSUeaRyaVkBTnz6Gc0vNWzuPifCkta/jJTMGGg4e7M888PZfCwjpef3Noxubj6cJjd03kYHYxK9bbG5GUChl/uHc61Y2tvPG1nae/Y0oSkb7uvLh8G60D3af3TxyFn9GZ51dupae3D5lEwnOzJlPd1m4rpE4IDGJqUAhvZO6nqq0NiSDwl7QpVHe289aA1cB0nwhSTH68dnwXbeZuBEHgV1HTaTR38OEZ8Rq0MjWL/KeQ2XjKZgOtlCqZ4zWT3NaTDl7tiYZJ6GQu7Kz9xuE7a+UmAnXjOd2yxubTPhh6RSxKqRe1HRsv+D5bB+SRkivo3S6VuGAyvo2L07N0dK2ktmHJJfHuEkFBlNuL9FlaONP0ykW/30s9kh5LK00/YsdwMei19LCvfh1v5D/JWwW/IbNxMzJBwQjDeOZ638cdgb/j3uDneSj0ZR4N+xcPhrzEPUF/4faAZ1jo+wtmeN5OsnEq3uogzJYuTrUeYkvNF3xV+ipvFfyGv564gxdz7+a9M39gVfnb7K1bw+nWIzSZax2Gt/xfwTUL7MtKl6OUKJnjNWvY182WPoo7qgnWeg95rc9qwYrVppoZDBelmuYeR1lhkJOooiluscsj9UolAc4uHK91zLgTfb3Jrqh2yO5HBfvRZ7FwpNge8F2dtET6upNxqtjh/fEhXmhVCvYfdzwOkBIfQG1DG2WVw7dxx8b4AnD8xLWjYwBSR4WweFEa6zdks2Hj0KLg9dNHMC4llLc/3UVeob32MCLMh8XTk/hmWzYHjosLnlwq5S+3TqO5o4tXV4oZrUou48/zp1DS0Mw728QgPdLXm1tGxvHxwaPkVou/yR/HT6LfYuWF3TsASPH05YaQaN49dpCS1iaR2kmYRlNPJ6+fEBuPYl18meMzgs+K9tnksNf7jMWkdOG9wjW2h3SyxyQMcgNfl31j97yRKEl3m0dBezZlnY4ql1jDTZgt7eS1bBhyPwRBgrt2Fo1dey6hRf/KBg1BEHBxehxXl3/Q1b2dmvpbsVzCeDedIhI/p7uobF9Oy0UWhj3V8QDUdOX8yJkXhoaeat7Kf5p1lR8gFeRc5/Mgz0R/yH0hz3OdzwOMdptNpFMywbpY/DTheKuD8ddGEKKPJ8p5FInGSYx3X8Ac73tYFPAUD4X+nWejP+TPsV/yePhr3BrwNDM87yBSn4zVauFEy37WV/2PT4pf4F+nHuL547fyet6TLCt5ha3Vy8hu2j2Q5V+7BOzHcE0Ce2tvGzktx1joOx+dfPiM5XhLIb3WPuJdho4YO1s0dVYMVdKopDK6+8+haHQDFE2no7tfhKsbZxodueQRPp509vZS2GDnS0f4eyGVCBwtcczkR0X4kVNcbfNGAXGIRkKED4dPDaVURsaKjpVZucPTLeFhnkgkAnl5VcO+fjFoa+3i1IkKTmSXXZK29p4l40lKDOS1pZvIPqegKwgCv31kOi5Oav782lq6uu07mYcWjiHI28jz72+kpV1cYCP93LlzchKr9p+w7XBGhwZwfWI0H+zKJLdCXBx+PWksBo2aP67fQr/Fgp+zM4+mpLKhII8dxaIU9HcpE5BLpPwpYytWq5VYoxc3BSfwcX4m+S2i2drjEdOQCAL/PiUWTZVSBXcFzuJ0Wyk7agcMySQK5vtez5mOQg432Xceqa4z0Uj1bKle5vCd3VWxuKtiOdb01bDt5l66G7DSS1X7txd0f6VScYJTX9/Vod70ujswGd+mx3yI2ob7sF5Ci3ygy2MoJG6cafznRf0N6eXeKCV66nsuXgJ6LoraT/B2wdO09TWxJOiPPBL2D1JdZ6CWai/7sxUSJR6qAGKc0xjvPp8Ffo/yQOiL/D7mY34X/RH3h7zA9T4PkeI6HSe5kYquArbXfs3ystcGsvzbeSn3Hv5b8FIf9CUAACAASURBVCxfly5la81XHG3aTmH7cRp7qumzXN6AExDZiSZzLSda9nOiZf+Pv2EA18TkosncSLxzHNM8ppz3nIMNJ5ELUhIGJtAPRn2PGKDdlEMXBblkKPfurhH/CKo72h2OhxiNbCsupLe/H7lUzP5jPUXq51hVDWEmUWWjVSqI8DQNCewpYX58svUw2UWVpEb4244nRfqxN7uIuqZ2TAb7Nfp5GTC6aMjOLee6afFDrl2lkuPv70pe/qWZKVksVl7963cc3JNHS7M9m/APMjFt7ggmTo/F3fPChuRKpRL+/McbeOzxT/nz8yv579tL8HC3v9fFScMfH5/NL59bzpsf7+SpB6eJ30Eh5/kHZ3P381/wz0+38cLDcwB4aPZodhwr5Pkvv+frZ+9Ar1by9JwJ7M0v5k/fbmHZI4txUav4/bQJPLlqA58fzubOlJHcn5jM6tMn+dOOLWy8bQkeWj1PJKbz1wPb2VSSz8zAcH4TP4lN5ad47shmPp14Kx5qZ+4JGcdbedvIbCgixTWIaZ7JrKrYxQeFa0l3i/1/7J13dFRl97avM72n994gQOjSQXrvXRQBFVEEUUClSkeqqBQBEVRAEBAQ6UVAeqjSCZ0kpPeeqd8fEwJhJgXxfX1/a333WlniPM+ZOXU/++x973sjF8to6tqYfQkH2ByzlVqONZGIJMjFSl5178m++LXcz7lGsMaa/xEEgRrOAzgUN4n72UcI1bUtcb40sso4yusTm/UzvrrBiMrRj5FKggAJBuPLG7/SoFZ1x2zJITX9E9Iyp+PiOPOFtpeI1AQ6fsDttBmk5R/DRdW8QtsJgoCLohKpBS93bNcyTrEp+itc5J68GTgRF7nXS33fi0At0aGWVCVQXbXE5wazntTCeFL18aQWxpFcGEe6PpEHude4nHEMy3NdQVViHVqpIxqJI0qxBoVYhUKkRiZWIBbEiJEgEsSYLAYMFgNGs4F8UzbZhnSyjemk65PIM1ntnbey4n10/xWPXSaW8W7w26US7gtMeg4mnKO+S1WUElvVvOhcq5f9pFDpWVgsFsTPJVvlYglaqcwmRBPg4IjRbCY+56knH+TihFwiJiqpZBVmDX8vrj9OLJEwrBXsjSDA5QclDX6dcGtI5a/bJUMqgiBQvbIPV6NKD7WEhnjw4IF9md/ysGXtSQ7u+ouIWv4MHdWWaQtfY+yU7qg1clYvOcSbXb/m69k7yc2pGENAo1Ewc0ZvTEYzU6dtt0mm1qnuz4Bu9fjtwGWOnH7KMKkc4M473RtyIDKquBJXLpUwY2A7kjJymP/rUQAcVQomd2vFzbgkfjhupQt2rlqZV0MCWXTkJLEZmcglEma3aktsVlZxReqQqnWp4uzG1NOHyNEX4ixX8Un1FpxOesjOaGvic1BwU7yUjsy7vguj2WTluof2IKkwnc0x1kIksSCmv18fEgsTOZL0Z/H+N3TpiIPUhX3xa0vEVwPUTXGSBXMxdY1dr93PYTAFpsck5e6xGXsegiBFJq1OQWFkuXNfBlr1G2g1Q8nO+Z7cvB0vvL23th9ysTePMle90HbO8lDS9Q/+doOLdH0S22KX4asK5f3Quf9Vo14WpCIZnsonXn4vevuNZGjITD6rsoqpERsZXXkpbwdNo5fvCFp59CfCsRHOMk8M5kISCh5xK+s8kal7OZy4iYMJG9iXsJY98T+wP2E9hxM3cTLld25kRpJhSEYl1lLVoSHdfIbxfug8hoXMqvB+/iseu5fCC51UV+r4wYRzZBlz6e1r30O4l52ECIEgjW21aoHJiFxse1hamZxsfUkOuY/Oug+Ps7Lwd7BSJcUiESEuLtxNLhmiqebjzi9nLvMoNZ0gN6ukgVYpJ9jThcv3S4ZOKvm7o1JIuRQVS9sGlUt+TyUv/oy8Q2p6Li5Otq+TgYGuHPrjOjm5BWjUCrvHbw9R1x/z44rDvNqmGhO/6F1i0WzXtRbxsen8vuUsv/0SyblTd3l/bHuatqxSbjWbn68zE8Z3YfKUrSz6eh/jP+tSYpthrzfl8s1Y5n67n0pBHvh4Ws/j4M71OXn5AfPW/kHNSj54OGupHujF0Pb1+W5fJC1rhNCqZihtI8JoXz2MZYfO0LJKCKEeLszo2JrO361l8p5D/DCgF/V9fBkQUYPVly7QtVI4Ee4efNGkPb12rmfhhRNMa9Sa/sG12Xz/MrP/OkQLr1B0MgWfVu3ImAsb2fgwkjeDG1PTMZQWbrX5JfowbT3q46l0pqZDDarqqrD98Q4auzZELVEjFclp6/k6v8Ys4WrGSWo6NQOssfRXXIdxMG48UZm7qeLYvcS5clW2Qi0N5VHmKjzUXRCEsv0mpaI5mdlLMJkzEYsq9ib1d+DsMAW9/jIp6WORSashlYZWeFuRIMVfN5g76XPIKryCTm77pmkPTrJATBY9OYZEdDLbPFlZsFgsbI1ZCkA//9Eo/oGwy38DUpEMV7k3rvLyj9dsMWG2mDFZjJgxIxEkiAWpDQPw7+Jfrzx9HtmGPNY+3EdVXSARDsF251zJiCFY64ZcbFuRlW0oRCOxbSislEjJM5b0OL00WgASnw/RuDpzP7VkEqyKt5VFcyu+pDddI9CLa48SSsQgJWIR1YK9uHrPNlYeEe4DwI079uPoAf7WxSr60YuVdf/w7WEcHdV8NLGLXWPt5evEe6Pb89Xqt9FoFcwat4XxH6wjI638xFrjRmG8NbgZBw9dZ936koUnEomY6aO7IBKJmDh/R7FXLxGLmD6sA0aTmSkr9xQno9/t0IDKvm7M/OUQadnWcNGkbq3QKGRM3LIPg8mEt4OOz1o149SD6OK2heOaNMNFqWL8of0YTCbquHszsEptfrxxgUtJcYhFIma+0pG0wjwWXrHy5lt6VKGJWxjLb/9BYr61tuHdkK6IEFhxz0pdFASBAf79yTPlsS32KZ2xpmNzvBRBHEhYh+GZKkx/dWM8FNW5mLrGhiEjCCICHIaRa7hNSt4flAelog1gIj9/f7lzXwaCIMXNeQWCICM5bdQL0xC9tH0QC2piszdWeBsHmTU0mfk3JIFvZEXyIPcaHbwG4yRzf+Ht/y9AJIiRiKTIxUqUYqsz8U8ZdfgfNOw/PNhDliGXD8N62zVQBSYDf6VFU8/F1ugXmoxk6PNxU9rG3kWCUNzY4QlclNbka2p+yRCNv5MD8VnZxZKyAMFuzohFAncSShrcKn7uZOYVEJ9eMjFbLdiTuzHJFOhLLiaVgtwRiwRu3i0pO/wEfn7Wt4HYUtrW2cOdm3FcOnufnq83RKMt28sPj/Dl2/Xv8eH4zty4GsOIN7/j1rXyE3gD32hM+7YR/Lj2BH8cLsnz9nR3YOrHnbn3KJnFPx59eiweTowb1JpLUY9ZvcOa+JGKxcx+swM5BXpm/mJVjHTRqJjSozXXHyfx3RFrW7v+dWrQMNCPuYeOEZ+VjU6uYEbL1txISea7i9awzbhXXsVDpWHciX3oTSaqO3sxKPQVNty7yIWUWARBYEJEF0wWM/NvWMMj7gon3ghoy8mUq8Wyvv4qP1q5t+SPpCM8yrUmd0WCiE7eQ8gwpHAqZVfxMQmCQH23D8g3pXElrWSCFcBd3RmlJJAHGUvLNaByWR0k4kBy8raUe/5fFhKJN86OM9EbLpGTV3EDDSARafBQdyEpdy9Gc3b5GwA6qdWBydK/GMPLbDFxKGEjrnIf6jqXnoP7/ygb/1OG/VTKVXbGnaS7TzNCtb525/yZeIsCs4FX3SvbjCXkW286T6W2Qr+nk8sRCQIZBSUNu6+jA2aLhYSspzexXCrB38WRe0m2hh3gVkxJ2mS1YE9MZgu3o0t6+Aq5lEA/V6Lu2zfsXp6OiEQCjx9XvIpx97YLKJRSOveqW6H5YomILr1f4avVbyOWiBg9dA0/Lj+MyVi6IRIEgTGjO1K9ui8LvtzLraiSbxwNawfxevd67DhwmQPHn8qLdmpSlY6Nq7Dm98jinEOotysfdmnCkSv32H7a6pG3iwija61wVh6J5GpMAiJBYHbntlgsFibtPojFYqF9SBidQiuxJPI0t1NT0MrkzG7Sjqj0FJZfsS4co6s3x1OlY+K53RSajPiqnBkW1oI/Em5wNNG6X739WuCncmfpna3F1cu9fXugkWhY++jn4rh6sKY6VXT1OZq0lUz905yLhzKCIE1LrqZvtNFqFwkSAh2Hk2O4RXJe2Z64IAho1AMoKDzxUlIAFYVa2Qu5rB4ZmfNfmN/ure2D2ZJPUm7F3i6UYmfEgpxs44sxvKKyL5JUGENrj/6IX6Iityzkm/KJzYvlcsZVTqec4WjSn+xLOMCuuD3sjtvDnvh97I3fzx+JhzmRfJKzaee4mnGNezn3SchPIMuQ/T/Pbf+faf0SlRXNvJs/E6bxZWhwl1LnbYs+j5fSkfquth57VIbVuIY5uNmM5RsNqCQlQzeCIKCSSMkzlPSqPbRWjz8pJxd/p6eaDQGuTsXNIp4gxMvazf5eQiqtaj6NXVYOsBr829HJ1AgtGXMLC3Lj3GX72utSqRhXVy3xCZl2x5+HyWTm1J+3aNC0EmpNxWPyAKGVvfh2/XusWLSfjWuO8+BOIhNm90ahtA1lPdm36VN68cGHP/H5lK18u3QQbm5PcyXDXm/KtdtxzF++n9AAN4KLwkqfvtmKK3fimLJyD+tnvIlOrWBgyzqcvPmQ+VuPUjvYhyBPZyZ2a8nZ+7FM3LKfLR++gZ+jA5+1bsa0fYfZdOkqr9WpwbQWrTkTG8MnB/exrd/rtPEPpVtwFZb8dZr2AZUId3ZjZt2ODD2+ieU3T/JxRHMGBTdlb9wV5lzbxSvOQWikCj4K68snl5ex7uF+3g3pilqi5jW/vqx6sIZjySdo4f4qAJ283+KbqI/YE/8jAwI+KT7Weq7v8yj3BOdTVtLcc1KJ8+Sp7kp05mrupn+Jq6o1IsH++QTQad4iK2cF6Zlz8HTb9ELX70UhCAJODhNISO5Fdu5aHLTvV3hbraw6CokfSbl78db2qdBvaSTu5BqSyp37LM6lHkAjcaSaQ8MX2q40FJgKiMq+w92cu9zNucej3Efk/gP8cwEBlViFVqpBJ9Ghk2rRSnXoJFp0Uh1aidb6mUSDRqJFI1EjEf33zO3/hGE/k3KdOTfXoZOqmRbxNjI7sXOAqKx4IlPvM6JSaxvmC8D1dKunF6azNew5Bj0qqe0DppBKKDCWZDi4aazJmqTskrF3f2dHzty1Vo4+CROp5DK8nXXciyvpyXs4a9Gp5dyJtr2xQwPc2Xf0BumZeTg52HLxvTwdSEysmGG/fSOOzPQ8mrSsUqH5z0OjVfDJ1O5UrurNtwv38vE7a/h8Xj98ikJCz8PRUcXsGX348ON1TJi8ha8XvVGc5JVIxMwY25W3P1nLxPk7+G7uG+g0CjRKObOGd2Lo7E3MWnOAeSO7IhIJzHqzPf3mrmfCT3tZO6Y/OqWCWX3a8e6abXy17zgTurZkQJ0aHIi6y9xDx2gU6E+AsyMzWrZh5N6drLxwlhH1GjK9UWtOxj3ik+N72N51IC29Q+kREMHyG6do7xNOFScPplTvweBTq1gcdZCJEV2p6RRKB88G/BpzlJbutQnV+tLEtTHHU06yOWYLdZxqoZPqcJZ50MK9D4cSNxCVdZHKujqAVc41wrEvV9I3EO7QDQ9l9eJzJAhiwpzH81fi20RnriHQsXQDKhJpcdCOIj1zOvkFx1AqXv1b17GiUMgboZC/Smb2MrSaIYiEijkDgiDgoe5EdOb3GEwZSCsgUqWWupNrrLhhzzVmcjv7Eq+697TbUa2isFgs3M25x7Hk40SmnaPQXIiAgJ/Kl3rO9XBXuOEic8ZF5oJGokEuliMXyZGKJMW5MjNm9GY9erOeQlMh+aYCck255BnzyTXmkm3MJseYQ5Yxm2xDNvEFCURl3yHHmGNDeXwChUiOSqJGJVahEiuLfleGTCRHIogRCWLEgggLFowWE0azEYNZT64pj1xjLr5K+1EMe/hXDbvFYmFTzGHW3N9NqMaH6RHv4KYo/YZZfOsgOqmS/oEN7I6fSnxIdScv1M8Z8AKjkYzCAtyUttl1wU63VQeF9WbPzC9JC/R20lJgMJKRV4CT+qkMQqCHE9HJJWPigiAQ5OPKgzjbkEqQn9XLfxSbatewu7npuHqtYhrb925bQzpVqlf8ottD17718PRxYt6UbYx88zsmftGHeo3tsyeCgtyYNqUnEyZtYdr07cyb0x+x2LrQujppmPVpd0ZN3cTsJXuZO74HgiBQLdiLkX2a8s2mY/xy4BID2tfBzUHD1Nfb8vF3v7N09ynG9HiVxmEBDGxci/Wn/qJppSCaVQ5kbpd2dFm1jk9/38eGQf3oFFaJLncrszjyNK0Cg6ni5s6sxm0ZfngHyy9HMqp2YybXbsvxhAeMO7uTrW3fooaTHwMCG7Lh4Wnae1Wnrksgw0K6EZl6g0VRm1hS52PEIjGDAwcy+do0NkRv4v2QdwFo5tadyxnH2Pn4O4I03yAralxd22Uw97IPcSJxIT0DVpfgrjsrm+CmasfDzOV4qLuglJZ+fbSaIWTnrCEtcwbe8v0vJQpWEThoR5KY0o/cvO1o1QMqvJ2rqjWPMleSmn8cT03XcuerxC4k6CvedON29kUsmKmm+/ve+uWMK2yO+ZXY/MfIRXIautSngXN9QjTBKMQv9kZbmtRJWTBbzFaDb8giq8j4ZxtyyDZmk2fMI8+UR64pj/yiBSLNnEahSY8ZEyaLGZPFhIC1VahEkCAVSVBL1DjJnHCz07OiNPxrhv1G5kNW39/Flcx7tHCvzdjKr6EQl/7KeiwxipPJdxhTpQM6qe0Jz9TnczntMcPCG9mMJRZVnHqqbZOq9lZXB6X1wc0sKEmP9HSwxu4TMrNLGHZ/NycuP4gv4ckDBHs7c/i8bUeaAF+rYX8Ym0qtan424+5uOlJScjCbLYhEZdMRH91PQqWW4eZROn20oqjXOJSla4cx49NNTBu7kY8nd6Nt55p2575SN4ixozswf+Eeliw7yEcftis+9hrhPowY1IJv1hxm/fazvNnLuhC/3qEul24/ZvHmY0SEeFI91JsW1UPo27QGa/+4QMPKATSuEsCYDs2IvBfDpF/3s23UQDx1WqZ1aMWY3/ay6tQ5hjdtwPQWrTnzOIYxB/byW/836BRUma5B4Sz+6xRt/EOp6uLOjLodGHFqKytvnmZktaZ8WLkNx5JuMe3Kdja/OgKtVMXIsF7MvPETW2KP8pp/a7yV3nTx6sSOuJ00cmlATccaSERSuvu8x/f3P+dw4iY6eA0CQCpS0dh9DAfjxnMlfSO1nEvK74Y5TyT18XHupH1BDY/SGz2LBAWODhNJSRtOTt4mtOrXX/palgWFvClSaVWycla/kGHXyaojFbmQmn+0QoZdKXEm35Rq81yUhttZl9BIHPFS2pfxLgs5hhx+fLiWc+kX8FR48HbQEOo7v/K3jPPLQCSI0El1ZdK5/yv78W/8aFx+Ch9d+obovERGhfVhYpU3yzTqaYW5zLj6G6Fad14LsO+t746+gcliob1vuM3Y3Qyr1xzsYBteKDAYUT4Xe1dIrOtd4XMhGlet1eNPyS4Zo/Nx0ZFboCc7v+RC4O/hRGZOQXEDiidwd9Eik0mILaWphrOLGpPJXCExsMfRafj4u7xQd5Wy4OntyIKVg4moFcDCab/x04ojpZaTd2hfg3596/P7zkts/vVsibE+nWrTukllvttwnMhLVjkAQRCYOrQ97k4aJi/fU3xexvR8lRAvFyav20dyZg5yqYQFr3Uip6CQz7daE6edq1amc9XKLDl+hitxCTgplcxt3Z6o1BS+OmOlYM5o3AZHuZLRf1oTpx38wuniX5WlN45zIz0BpUTG1Bo9iclLY8ktq8BZM7eaNHGtztoH+4jJs4YNunp3xkfpzQ8P1pJntF6DIE016jq15mTy78TlP1XoDNA0IVDTnEupP5KpL8kuUki8CHIcQUr+H6TklezO9DzUyu7IZfVIz/wCk/k/22xFEAS06jcxGK6j19s2YC99OxHOykakF0RWSGJAKXbCZNFjsNhvCfksLBYLD3KvE6yp/sK0v6js20y6NoWLGX/Rx7cXsyNm0Nyt2X/dqP8v4V8x7AUmPYMDO7K2wWS6+jQp0yjlGQsZc2EDWYYCZtXsg8xO8ZHFYmHrgyuE6dyIcPK0GY9KtzJTKjmWfJUxWyzkGPSoZbZJValYXILuCOCstoZN0nJLGlwvZ+vqHJdWUi7Y18MaVopNLPmgikQCPh4OxMbbpzS6uhR1iErLsTv+LOJi0/D2tR8P/7tQaxTMWvwG7bvVYsPqY8z9fJvdlnkAw4a2pPmr4az87ghHjj5lwwiCVeI32M+VaV/vLj5WrVrB7OGdScrIYcb3+7FYLChlUua91Ym8Aj2T1u7DZDYT5unK2I7NOBb1gA2nLyMIAtM6tMJVreLTHfvI0xtoFRTMgIgarLp4njOxMTgrVMxr2oFb6cksumAVBZtWpz2OMiWfRO6k0GSknksQrwU0YMPD01xIfYggCIwK64NCLGPBrQ2YLGakIilDg94mw5DBxpjNxcfU0WswKomObTHLMD1TedrI/WNEgpSTibaaKn66wailodxOm4WxDDEuQRBwdvwCszmT1PTxL907szyolV0BEbn59huIlAZHRT30pmTyjeXz0xVia9FVgbH8hSpdn0i2MZ1A9Yvlim5k3WTBrUUoxAqmVp1MV+/O/9Uk5f8q/hXDHqTxYmBgO7tyAc8i21DA+5E/cTUjltm1ehPuYL+sODI5mr/S4hgQUtvuInE+8TFBOicc5CVjbGlF/PUnfPZnYW+peRKied4zd3ewGuLkzJIPrreb9caOSylp8AG8PRyJT7L9HMCpqCI1Lb1sj91stpCckImH18t1W7EHqVTM6MndeHtEa47uv8b0T36hsMBW1EgkEpgwrgvVI3yZM28nV64+zQ0oFTK+GNcDARg/9zfyinTaI0K8+LBfM45dusfaPecACPVyZXzflpy9HcOag9bPXm9Ui2aVAlm49xi34pNxUCqY360DD9PSmX3wKACTmrUgwNGJsQf2klVYQGv/EF6rVIOVV89yNiEGJ7mKL+p1JiozqbgB9kfh7fBTOTPl8jZyjYU4y3WMDOvFzaxHbImxFjcFa4Lo5NWRY8nHuZpppWQqJRq6+7xHfMEDjib+Wnycaokr9V2HE5d/kajMpxrvYJXArewynQJjHHfT5pZ5zuWyCBx1n5KXv4OcvA0VvVR/C2KxC3JZbQoKT7zQdg7y2gAVagUoLzLshWb79/mziM23Sir7qSpVeF+i82L45vZSPBTuTK4ygQC1f/kbvSTMFjMFJj35xkJyjQXkGPLJMxagNxkw/Q9RIF9qaRMEoS8wDagC1LdYLBXqD2YvYfk8Ugtz+PDcem5nJTC/dj9ae1WzO89isbDk+nHcFGr6B9t2YjKZzZxNiKFrsK0nkFCkEeOhsY29my0WRM8tEiq5NVyUqy/ZuclFV1TolFXSsHs6F1W2ptkWdXi66bhcisqjo6PVsJcXislIy8VoNP8j8XV7EASB/kOaonVQsnjOLiZ/9DNTF75mUwQlk0mYNaMPI0atZcq0bSxbMggfb6uOj4+nIzM/6cboGVuY++1+po+xVsYOaFeHa/fiWf7rSaoGeVKvqj/dG1Yj8nYMy3efpm6ID3VCfZndtz29Fq/j04172DTydRoG+jGscT1WnjpHs+AAOlSpxFftOtJny0Y+P/IHX7fvxJSGrTgdH83oP3ezr+dbtPIOo19wLb67dZpW3mG84ubHjJq9ePv0ahbe2MvUGj1o6V6HE8lXWPtgL/WdqxCs8aaHTzcupV9izYOfmB0xHZVERVWHBtRybM7RpK2E6+rho7IKM4U7dOVBzhHOJC/FW1UXncyn+Pw4Kl7BXzeU6KxVuKha4KYqvfDGQTuSgsKTpGVMRi57BZnUtl7jn4Jc1oCsnFWYLfmIhIqFLVTSEESCgqzCq3hqupX9/SLr/V9oKr+oKS7/PmJBgrvcNudkD2n6NL6M+gqVRMnYyh+jlVasdqUs6E0GHuUl8CA3nke5iSQXZpCmzyKtMItsYx4FJj0FZn2Z3yFChFwsRS6SohDLUIhk1v+K5SjFcpRiGUqxHIVYjkIsLR6XiaRIRRJkIgliQYxIEBAhQhAoSqqa0drpC10aXvad5RrQC1j5kt9TDIvFws7Hf/Hljb0UmowsqjuAVz1Kv7kPPI7iTNIjJtdui0JiS5OMTIgh26CnmU+gzVh0pvUV0Vdb0jAazWaMZjMycUl2gkwiRiwSSsj0Ajhri0I0z8XeNSo5SrmUpHTbG9vDVUtOXiF5+XpUz/HGHXTWhyyjHMOemlKkcun+n03UdOpZF5VazoKp2xn9zmpmLx5ooxKp1Sr4YmYfRo5ay/gJm1nyzZs4OlrPS93q/rz3RjOWrztGWJA7b/ZqYNVSf7sd92JT+HzFHtZNH4ibk4ZJ/Vpx7VEC437cw6ZxA3HRqpjXryND12xl1o7DfNG3PaNebcSpB9FM3nOIGt6e1PT04qMGjVl05iQtAoLoWaUqX7foQp9dPzPl9CG+at6ZSbXacCbxIWMjd7Cr/bvUdg5gSEhTfrh3nOYelWnhUYVRlfpy9dx95t38maV1RyMTSRka/Dazbsxh/aONDAt5B4Au3u9wL+cqv8YsZkTYQiQiKYIg4lWPCWx7NIQ/E2bT2W8JomfYLcFOo0grOMGtlM9x8KmNTGw/fCYIIlydlxCX2Ibk1Pfwct+DSFTxB/pFIJfXgRwDBkMUcpn99pTPQyRI0MjCyTHcKneuTGx1mPTm8kOKCfkPcZf7IRGV37jZbDGz8t73FJgK+LzqRJxlfy8UabKYicqK5lzaTc6l3eJOdgzmIjKFVJDgKnfARa4jSOOFVqIqMsxyZGIpYkQIgtVFWsUqewAAIABJREFUNVuK6IkWEwazEb3ZQKHZQKFJb/XuTXryTAVkGXLJNxUWfVZIodlQKjXSHmo4VFzd8aUMu8ViuQn8Y4m7+9lJzL2+m7Op96np5M+U6t0J0ZauFZGYn82kc3uo5ujBwFD7VZc7799CJZHS0s+2oOl2aioiQSDEueSNkVPUKUmrsA0ViUUijOaSr1wKqQSpREzWcyEaQRBwdVSTmmEbW3V1LgrfpGYXs2SeQK2WIwhWTfWykJ5qfWCcXP65LjyloUW7CJxcNEz/5Bc+fe9H5q8YbBMC8vV1ZtbMPnzy2S9MmLyFRQsGoCxatF7vXo87D5L4bsNxgvxcaVovBJVCxpwRXRky/WcmLd/Nt5/1QaOUs+Dtzgz68hcmrt3LsuE9aRjqz3stG7DicCSNQ/3pUrsKX/XsRPfvf2bsjr2sG9iX4a/U53j0Q6YcPUQdL2/quHszqlZjvrp0kha+QXQPqcrCht157fBapl/cz8IG3figUitOJd9h+pUdVH/VDxe5htGV+zP12mrWPtzPO8GdCdEE0827C7/F/U5Nxxo0cKmHUqKhl98H/PRgFocSNxazZDRSDxq5f8yfCbO4mr6Rms4Di8+NSJBR1XU+5+J6cSv1c6q7LS31uZGI3XFzXkxiygBSMz7D1WnJP/aMPQuZxOowGQy3K2zYAdTSMFLyDpbLdpEVdYcyVKDRR3JhLAHPSeSWhhMpp7iVHcXbQUPwVb04zTe5IIPf406wLz6SDEMOIgTCdQEMCGhDsNqbII033kpXu7Uy/yQsFgt6s4ECkx692YjBYl0UTBYzZosZs8WCBatarUQQo5IoWMSHFfru/1qMXRCEYYIgnBcE4Xxy8tMye6PZxJGEm3xw9id6HVvCjczHTI7oxg+N3inTqGcbCnn32CYKzUa+atTDbjelHH0hux7col1AmA3zBaxt8QIdHW08/Sf8dZ09w25Hc0YQBLRKOTnPGXYAZ52K1Cxbz9ulSKc9Jd32pheLRWg0CrKyypbXLTbszv8d9buadQP5YumbZGflM2boDzy6bysvHFHNl88ndefOnQRmffE7JpN1EXySTK0U7MH0r3dxP9paih/s48LEIW356/ZjlhS11Av3dWd835acuRXNd/ussrbDWzWkTqA303/7g4fJ6fg7OTK9YysuxMSx7PgZxCIRi9p3QiwS8dH+3ehNJkbWakQdd28mnTxATHYmdV19GVG1CdsfXmVX9A2kIglf1OpLnrGQqZe3Y7FYaOwaQQfPBmyK/oPLGda4b1fvzgSrg/jp4VrS9NYkcCVtHV5xbsuJ5B3cz7lWfPyh2nYEaVpyIWU1Kc/pkWtklQhxGk1K3iHicjZTFpSKFjjqPiM3bysZWWXH5v8uJJJAQIzBaL8Pb2nQSEMxmDMwmMvWM5IWvWmU57HrzYVkGFJwk/uUOc86V8+vsdsI1YTQzLVJxXcaSCpIZ8GtjQyKnMXm6MNU1QUyqeogtjSZyTd1PmJIUCdeda+Fn8r9P27UwfpMyMUyHGQa3BSOeCtdCVR7EaLxIUzrR2WdP+G6AMK0fgRpvPFQVPzNpNy9FwThkCAI1+z8dS9v22dhsVi+s1gsr1gslldc3Vw5m3KfL2/spcuRrxh9YQN3shJ5L6wlv7cYTZ+AemVSngpNRj44+StRmcksbdybEJ194v7m21fJ0hfyVjVbb95ssXA+/jF1vWxvpsSiitMn0gLPwmA2IxHZ7ptCKrEJ0QA4aJTFnYSexZPCpAw7Rh+sWui5ebYLxbPIKgrVONiR//1PIbyaDwtWDsFkNDF22A92BcSaNA5j5AdtOH3mLitXHSn+XCGXMndcD1QKGRPn/Vbc8LtD4yr0b1ubjfsvsu+UlVnTs1EEXepX4bt9ZzgbFY1ELGJ+/07IJGLGbNxNgcFIt4gq9KpRlW9PRHL6YTQ+Wh1zWrfjSmICX505iUQk4psWVnmKUUd3YjSbGVm1GbVdfJh8fg+PczMJ0brzcXh7TiTfZvMjK2Xzg9CeeCtdmXfzZ7INeUhEEt4LeReDxcj399cU64R08hqCi8yLLTFfk2e0hsUEQaCJx1gUYgeOJMzAYC557f10b+GkaMKd1FlkFV6jLDhoP0ajfoPM7MVk5fz4N65W2RAECSKREybziymJKqWBAOSXo9woFVlDikZzOQ6K3lpkVxHN9SNJf5JpyKSvb+8K0yJNFjPbY48x9Nw8jiZdoot3Y35qMJnp1d+hhXttdNL/G7LAL4Jyz4zFYmljsVgi7Py9uGp/EaKyEhgW+QO/PIokROvOl3VeY0+rsQyv1ApnedknOb0wj/dObOFU4kPm1OtMcy/7cacsfSHLr0ZSz8OXWm62N8ytlGQyCgqo521r2OOLxL88tSUTMmazBaPJjFRsx7DLJBQY7Bl2hQ2PHcDJwXrTp5cSR1er5eTY2e5ZZGbkIZWKUSjLj0v+kwip5MlXq99Bo1EwYeQ6bl61Ne49utelV89X+HXrObZuO1f8uZuLlpmfdiM+OYupi3ZhLPLoP+r/KrUr+zD7x4PciUlGEAQm9WtNkIcz43/aS2JGDl6OWub07UBUfDJzdloXjCntWxHk4swnv+0lJSeXjqGVGBBRg5UXznH80UP8tY7MbtKOi0lxfH3JauwXNeyOxWJhzJkdGM1mXgtsQBO3MBbd3Mfd7ESUEjkTqgwkTZ/FV7c3Y7FY8FR48Ib/a1zPusGBhIMAyMVK+geMIdeYxbbYZcUURYXYgRZen5Opj+ZU0lclzosgiKjmthCp2IVryaMwmEqXjhAEARfHuSgV7UnLmEhuvm2/1ZeFWOSEuRzP+3koJdYEZ77Rvt7RE4gECWJBZrO4PY80vbV+wElm27j+WRjNRvbE76WKNpxwXcWSyun6bCZeWcm3d7cT4RDE6nrjGRHWC0/lP0sR/l/Dv0L4dJap+fqV16nvEoyqHMrjs7iQEstHp7eTWpDLnHqd6RVUuuj/wgvHSc7LZVWbXnbHD9y7iwA0D7StcrufmoZYEPBzKpkgzCtiw2hKib0/213pCdQKGXn5tjRBrcZq2LNL6WakVsnIyy07A5+TVYBWp/yPxF/Lg5evEwtWDuGz4T8x8cN1zF48kKo1SjIahr/XiuTkLJYt/wNHRzWtW1ljqDXCfRj7bhvmrzjAt2v/ZNRbLZFIxHzxQRfenLqecUt+56epb6BVK1jwdhcGLtzIZ2t28f2ovrwaHsTQ5vX4/s9z1Av2o0utcL7u2Ym+P27ks537+f61nkxu1oILcY8Zc2Ave14fRPeQqhx//JClf52miXcAjbz8mVG3I2Mid7D0xnE+jmjOjJq96HtsKeMububnpu9TWefPkMCOrH6wm/0JZ+ng1YDmbq9yOfMqm2O3UllbmSBNIN7KYNp5DmRv/I+cSztAfZf2AHir6lLbeRCX0n7CW1WHMF2H4vMiEzsT4fY1FxPe4GbKBKq7Lyv1GgqCBDfnb0lI7kNy6nAEl5WolO3/4av5YvePQmIVtSsw2lcofRYSQYHRUo6DUqSc6Sgtu2T+UsZfZBgyeStwcIX2My4/hXGXl5Omz2Z0pf509GrwjzwrFouFTEM+CfmZJBZkkq7PI9uQT5YhnzyTHr3JiN5sQm82YsFSvOALgoBYEBX/SQQxUlHJP0nR55Kif4tFIgQERAi4KirO/HlZumNPYAngBuwWBOEvi8VS7l3nrtDRwqPihQjZhkKW3zjJ91Fn8FE5sLn1YKo7l/7adjo+mrU3LjKoah273rrFYmHf3dvU9fbBTWX7hnA3JQ1/J0cbVkxWkcSARmFbJSvYib0DqBQy8gr0NokmiViEWiUjqxTDrlTJSEkumyaWk12ASlPxhfGfhpuHjgUrBvPp+z8x8cP1TF80gJp1A4vHxWIRkyZ0Y9yETcxfuBs3Ny01qluNf7e2NbgfncLmXRcI8nOha5sauDiomTOiC+/P3cK0VftYMKo7IV4uTHu9LeN+3MOi344xrk9LPmzbmIuPHjNt+yGqersT7uHGpLYtmLL3D747dY73m9Rncccu9Nj0M6MP7OGn7r2Z3qgNF5Pi+OjoLvb2GEL3wAiOJ95n2Y2TNHQPpKF7ALNq9eaDs2v58sZeJlXvRl//VlxIj2LZnW1UcwjCT+XOO0FD+PzadJbdW8HMiKkoxUoau3bhTvZf7I77gQB1FTwUVj51bZe3iM+/zMnERbgpquAoCyg+Nw6KWoQ6fcqd9DnEZK3B3+GdUs+zSKTCw3U9iSkDSUp9B1fnxWhU9h2WF4UFE/Bi2jRikRKJyJFCU/mSvBKRotxQTKYhFbEgQS0pu4vUkaQ/cZW5UMOxepnzwBpPH3tpKXqzkUW1RlJZ9/c47haLhTvZiVxJj+FWVjy3suK5l51EvsnW6RIhoJLIkBXRFqUicTFzRkDAjAWT2YwZK+vOyqKx/hmLKI1loa5zYIX3+2VZMduB7S/zHWUhozCfn+6c48fb58gyFNAnqAaTa7VFKytdzCcuJ4sRh38n2MGZz+o2szsn8nEst9NS+aJVW7vjV+ISqO9vm21PLaIzumhs6WcmsxmxHV0XmVRipUOZzEglJR8gtVJObr59r1ypkFFgpyDoWeTlFpbbWOM/DVd3q3GfMHI9k0atZ+ZXr1O7/lMGkkwmYfrUXnz48TqmTN3KksWD8CuqlB05pAXRcWl8ueoQgb4uVA/3oWaYD6MHNGfh+iN8v+M0w3o2pn3dylx5GM/PRy9RO8SHdrUrsfC1zvResp4xG3ax8YMB9K9dnTOPYvj6z1PU9fOmnr8vU5u3YsIfB1h+/iwj6zdkScuu9Ny5nrHH9rCmXW+m1+nAX6mPGXPmN3a1f5fGbmEMCm7C2vsnaegaQmuvaoyr8gbvnVvIrOs/saTOx2gkGoaHDGPOzfn8+GAd74e8i0gQ0cfvQ5beGcvGRwsYHjofuViJSBDT0nMK26Pf4nDcVLr5r0Aienq9fHWDySi8yN30hailoWU2ixaLnfF020xiyiBS0j4EixGNut9LXTuLxYLJFI9E8eINLeRiV/Sm8nsGiAUZJkvZb57ZxnS0EscyY+YZ+kxuZN2km3eXcmPrucZ8Jl9dRZ6pkK9qf0iw5sVa8+lNRk4k3+Z40m1OJN0mudDqYGkkCsJ1XvTwq4O30glvpQMeSgecZGp0UiVqieyluiCZLGYMZqsYmLHI2BstZrBYSZFSkZg1DK3Qd/1PNdoAMJhNnEx4wOTze2i+aymLrx+ngbs/29u+xbz6Xcs06hmF+bx7aDuFJiOr2vREI7PvzX5/8TzOCiU9wm3fGuIys0jMzqGWj62nn5RlTaq66+wkVY0mJHZi7zKp1Zjr7ZTkq5RS8kpJkCoVUvIrYNiVqpf32E1GE4/uJJCRmvO3Stld3XV8+d0QfPxcmDr2F65eLBl71emUfDGrL4JIYMKkzaQXMYEkYhHTRnfBw1XH5AW/k5RqfYD6tq5F12bV+H7HGY5esDJTPu7RjJpBXkz7+QAPEtLwcNAwv39H7ialMuM3axu6WZ3aEuDkyOjte0jNzaNf1Qi6VQ7n68hTRMbGUM3Fg0n1W3Ik9j6rrp1DLZXxTaOepBfmM+7sTiwWCx9WbkM1Bx+mXfmNx3npuMod+azK69zPjWN5UTu9Stowevh040xaJMdTrJWbWqkT/f1Hk1IYz47HK4rPo1rqRnPPz0nT3+dE4sIS51cQBKq6zkUjC+da8mhy9LaCcc9CJNLg4boehbwJKekfk5m97KWkB8zmFCyWfCTiF/dmpSJn9KaUcueJBRlGc9kkgBxDOmpJ2dXTlzIuYcFCfedXypxntpiZfWMt0XmJTK025IWMenJBNktuHaT94QWMubCRg/HXqeXsz/QaPdndcgzH203k+0ZvM65aZ94Mbkxrr2pEOPrio3JCK1W8dGs7sSBCIZailshxkKlwkWvwUOjwUDrgqXTARV5xWvO/btgtFgv3slLYfP8vPo3cSaMd3zDozw3seHSN1j6V2N1+KCua9qWGc9kXKDY7k967NnA7PYXFLboS4uhid97Zx7Ecfnift2rXtVvQdOzeQwAaBNh67LHp1tJob0fbgqB8vQGlzPb7xEUMGrPZ9jVLIZeSX2jfeMsV0uL+oaUhP0+PSlW6eFpZsFgs3Lz0iG9n/MYbTWbxfqdFDGg4g+4Rk3i79Ty+mfQr1y88rLDh0DmqmLvsTdw9HZj00c/8de5BiXEfbydmz+hDamoOEydvIb/oTUWnUTBnXA/yCw2Mn7Od/AI9giDw2ZutqRLkwfRV+3gUn4ZULGb+W52RSyWMXb2T3AI9jcMC+KBVQ36/dJMt566ikcv4pldnMgsKGLtjL2aLhVkt2+Lv4MhH+3eTkpfHoCq16RBYifnnjnExKY5qTp6Mr9maw3F3WR0ViVQkYV6dfliwMP7SZgxmIw1cqtLXryW74k7xZ5K101FX785U1YWz7tEGYvKsyeNgTXVae/TncsZxzqUdLD52P3UD6ri8xd3s/dzMLPmCKxapqOG+HLFIxZWk4RhMZScyRSIV7q4/oVJ2JT1zFsmpb2OuQMm+PRQUWqmkMln5oY3nIRU7VKhNntVjL/s+zjFmoinHsF/NvI6LzBkfZdmUyD3xZziXdosRob2o41yxBGuWIZ9513fT6ciXrLl3nFpOASyrN4gjbcezoM5rdPerg4/K6V/JZf1d/CuGPaUgl8nn9/D64XW88ttXtNu7kgnndnM47g7NvUJY3qQP57qPZlHD7oQ7lp0pB7iUFEePnetJysthXYe+tPa3z5Qxmc3MPn4UL42Gt2vVsTvnj9v38XN0IMzNdmF4kJyGo0pRQrL3CXLy9WiUpXvP9syjXCal0A5F0jomobDQ/tgTFOTrS+12VBb0hQYmDfmeMf2WsW/TWWo0CGHMvH68/3l3ug9qQnAVb47u+otPXvuWd9sv4NdVRykoJWT0LJxcNCxYMRgvHyc+H72Bi5El+dFVq/owZXIP7txNZPacpxz3YH9Xpo/uwt1HycxcvBez2YJcJmHeyK5IpWI+W/I7ufl6PJy0zBvSiYeJ6Uz9+QAWi4X3WzWkSVgAc3Ye5cbjRMI93Pi8XUtOPYhm+cmzaGQylnXsQkZBAWP278FssTC/aQe8NFpGHv6djMJ8BoW9Qnvfyiy4coRLKY/xVTkztUYPrmbEFqtAvhXUiXBtAIuiNhGfn4JIEPFe8DCUYiVL735LvsnK/Gju3ptQTS12x60mLv/p4lbbeTB+6sacTlpMQv6VEudFIfGkuttSCo0JXEsejbkcQygSlLg5r8DJYTp5BYeIS+qA3nCzzG3sIb/wCIKgRS6z/yyUBbFIi7ECFaUiQYKZct48TdmoJKUnBs0WMzezblHNoVqZxjWtMIvv7+2klmMYXbwbl7tvAPvjrtLj6DdsehhJN9/a7GjxEV+98jpN3MPs1sb8X8G/woqJz89iT8xNgrUutPOtTB0XH+q6+hGkdX6hVTHPoOfbK5EsvxyJp1rLho79qeRUemZ91cXzXE1K5Ov2nVBKbb3rlJxcTj54xJD69sXEouKTCfWwNfh6g5F8vQEHlW2Y6EnJsL2jksnExcJYtmMSDAZTmdV9BQUG5IoXu4QWi4WlU7dz6dQd3hnXmY7966PW2i5UeTkFnNh3lYNbz7N6/h5+++kkg0e3p1WPOsVNNezByUXD/BWDGffBWqZ98gtzlg6kWs2nr/qNGoYyYngbliw7yPIVfzByhDXP0ahuMCMHt2DxD0f4YfMp3nmtCZ4uOmYP78yohVuZtmov80Z2o35lf0Z1a8rXO46z/shF3mxVl7n9OtB36c+M/nkXmz98g761IjgX85glx05T29eLJkEBTG3eikmHD/Lt+Ug+rN+IZS270XvXz4w9tofv2/Ribr0udEtfzajT29jZbihtvSLoH/CQtQ9OUtclkOYe4UyqOojhFxYy8/pPfF3nIxxlDnwQ8h5zby3ghwdrGR4yDJEgop//Ryy5PZaNj+bzQegClBINgiCihedkdkQP43DcFHoErEYleXovOShqEe4yg5upE7iVOoUqLl+U+SwIgoCDdhhyWU2SU4cRl9geB+17OGhHV0iCwGRKJTfvd1TKdgjCi9NlJYIKk6X8ilKxIMVsKdtByTNmoxKXHmaIzX9MnimPKlpbSe5nsf7RAQrMej6q1KdcO1JoMjDz6g52Pb5MhKMvy+oPoorDi8Xi7aHAaCA+P4vHuZkk5GWTrs8nU59Phj6fPKOBfKOBApOBQrMJs8WaRH2WdCFgvbaiJ38Ixf9fpQJO7hP8Kx57VUcPLvYcy69thjCnXmf6BtciWFdxTXGT2cz2u9dptXU1S/46TZfgcPb0GFymUX9StNIxtBJdK9m/QbZduYHRbKZPrQibMb3RxK34ZCJ8bWWBi5OqOtsH6glP+/nEKVhjzE/GbcaK5pcmlwtWz1uueLGHcveGMxzcep4BH7Smz9Dmdo06gEqjoF2feizYOJwFG4bj4qFj0fjNjOrxDbevlt3dycFRxZwlA3Fz1zH5ow3cuRlXYrxnj7r07vUK2367wK/PcNz7dq5Dp5bV+GHLaf48Y63arFfVn1H9m/PnxXus/t3asHpw67q0rhnK1zuOc+FuLM4aFV8O6ExCZg4Tt+zHYoHpHVoT6ubCmN/2kpCVw2vVqtOjchW+iTzNqZhoarp5Mal+Sw5F32Pl1bPoZAoWN+pJckEOnxXF28dUaU+4zovPL28jLi8DT6Uzn4YP4E5OLMvvWkMq4brK9PbtSWTaWQ4nWbn1aokDrwd8SqYhlc0xX2O2WK+hXKyljfcs9OZcDsVNtok9e2l7EeT4IQk527iX/mWFrqdC3gBvjz/QqHqRmb2Ux4nNyMndgsVS+n1jMmeQlDoEi0WPg2ZEhX7neYgEGeZykqLWeZIyDbvRbMBgKUQhLr1+5W7OPQBCNaVrpSTkp7E3/gwdvRriqyq9Yh2soZf3I39i1+PLvB/Wkh8bDf1bRj2jMJ99MbdYeOUIQ49tounOJVTbOp82e1Yw+M+NjDu3i7mX/+C7W6fZHxvFpZRYHuakkaHPt5ItBBEqiQydTIGDTIFOpkArU6CWyJCLJUVt8qxJ1QKjkUJT2Qvks/hXPPa/W66bmJfDtjvX2XT7Cg+y0qnm4s6SFl2p51m2XsTt1BTe3rENN7WaWS3b2F1A9EYj68//RX1/X4JdbIsXbjxORG80UcPP1rAnZVpfSd0c7CRViwyzxI5hF4tFxeGI5yGVWecbjSZkMvuXSV9oLHXMHlITM/l+3i7qNqvEG6PsM4LsIaJeEF9tGcGxPVf4fu5uRvddRv/3WjJgRGukpfy+k4uGOcve5JNhPzB+5DrmLhtEWPjThPT7w1qRlJTF8hV/4OqipUXzcARBYOywtjyMTWPm4j14ezgSFuTOa+1qExWdxKrfThMe6EGzWsFMe6MdbyzYwGdrdrPhszeoFeDNZ51f5YudR1n151nea9mAxb260HvNBj7evpt1A/sws2UbriUl8vH+3ewa8CZDqtYhMiGG+eePUdfDh3oevoyv2YaZlw7wfVQk74Y3ZH6d/gw4sZzPLm3ih0bv0Ni1Ov38WrI55gjVHYJp5VGXzl4duZN9hw3RmwhSBxGsCcJfXZnO3u/w++OVHE7cQhvP1wBwlofQ3HMSf8R/zsmkhbzqMbHE/RjoMAK9KZnorFUoJF746t4o9/qIxa64On+NRv06qRkTSUkfRXrWHNTKnmhUvZFKQ7E+6gK5+TtIy/gcszkDN5eVyGQV02d5HoIgw1JBw15WjL3QbHWKlGUY9gc5D9BKNGW2htsaexQBeCOg7Ps6z1jIyLPruJkVx7za/Wjv/WL5haiMJHbH3OBEwgOupMVhASSCiBCdK/Xd/AnWuuCjdsBbpcNTpcNZrkIjkf1j8fkZFZz3rydPy8PjnCx+ibrC2we20uiX5cw9/yduSjXLWnZjV/fB5Rr1++lpDNy+BYlYxLqefXFS2vdQt16+TkJ2Du83qW93/NTdaAQBGgTbyorGplirB31dbHm4eYV65FKxXcaMgEBpuckn800m+xNMJjNGoxmZvOKG/aev9mMymhkxrWeZ4RR7EIlEtOhSi+W7R9OqW202fvsHH/Vewv3nvPFn4e7pwPwVQ1Cr5UwcuY7oB0+1ZcRiERPHd6VqFR/mzt/FzVvW75HLJHwxrjs6jZJxc7aTkp5j1ZkZ3JrKAe5MXbmXmMR0tEo5i97tSl6hgU9X70JvMPJ6o1p0rhnOkoOnOH33ESGuzszq3JaLsXF8eeQkapmMZZ26kavXM2rvbkwWC/ObdcRH48DIw7+Tmp/H4LBX6OAbzoIrhzmfHIO/2oXpNXpyLSOWRTf3A/BWUGciHIL4Kmozj3ITEQkihgUPxVHqwJK735JlsCYV6zu3o45TS44kbeZW1lNF6yBtC+q4vM2drH1cTf+lxDkTBIFKzlNwVbbkdtoskvMOVfgaKeT18Xbfh7vLD8ik1cnK+Y64pNY8ehzAo8c+PHrsTUracCRiX7zd96FWdqrwd/9diBBjoXR+dmFRbkIuKl02ODovBn+Vf6nGMc9YwIGEszR3r42rvPQkbKHJwMfnN3A98/ELGfVcg55f7l2i18Ef6LR/FStunkIsiBhVrRmbWw/mSu9P2dPhXRY17M7Iak3pGVidBu4BBGic0Erl/0rS9X/GsFssFhLzcjj++CErr57l46O7eHXzdzTetIJxJ/ZxIy2J96rX50ifoWzp8jpdgsNt9NKfx/m4x/Tb8gsWC6zv2ZcgRye783IK9Sw7EUktHy+aBNmnfh279YBqPh442kmcRidnIAjg7WLLlskrMKC0U9D0zIHb/fiJ4TUa7b9SP3kTkEorZtiT4zM4tO0C3d5sjJe/fcZQRaB1UDF2fn+mrRxCZloOo/su5eC20mX4Pb0dmfvtIMRiERNGrich7mk3HblcyszpvXFxVjN5ylYSiloFujoESFSXAAAgAElEQVRpmDehJ1k5+Uxe8Dt6gxGFTMq8kV0RiQQ+XWxNpoZ6uTJ9YDuuPIxnwbY/ra33erYm2M2Zz37ZS0JmNl2qVeaNujVZE3mBA7fuEubiwuxWbTkbF8uXp0+gk8lZ3qo76YX5fPznLswWC3PrdcZX7cio09tIKciljVc1BgY1ZuPDM+yPu4pEJGZS1UEoxDJmXv+BfGMhGqmGD8NGkG3IYvm9lZgtZgRBoJvPMLwUQWyJ+YaUwqeLYG3nwQRpWnI2ZTkxuf+PurMMj+rsvv5vNO7uQkJIgia4u4XgFHctWtyKFQoUa9FCcZfiFhyKOxR3AsTdMxk774dJoDQzSaj8+7zruvIl5x4/Z599r7322tc/+85EIgnBDkuwlJflUcI3pOReKfHvIxJJMTVpjpP9Zjxc7mFnvQBry4lYW47DymI0djY/4uJ4FLlc/3yDfxoikaRIWigv325AbmCMnVbQEp0bg0cRLo7nE+6So8mjtVvtIt/Lj09PcjP5DbPKt6Ohc/E7FY1Wy+7X96h/bCVTbx8nR63i24pNuN7mG35t3JuRZesSau+OkZ6pbv81/pPAnpCTzXfXzzH6t2P0iNhDg71rCdj8I1V3rqLHiT3MvXmBa7HvKW1jz4xqDTnVri/XOg9hYpV6eueW/hkqjYYfr1+h677dWBgZsbtjZ/xsDQezZRevkZCVzeTGdfXeXT+kpPEwKo6mZf31Pv5VTBKeDjYY6Qmy6Vm5WJnp195rtFokeiga0GXIgF6bAtBpz+ETZVMcrp99giAItOisf2bsl6JawyBWHh5NYIg3SybuYdm3+1AakGe6utsyb2VPFAolk4ZuIekPk6OsrU2ZO6cTKpWayVN/JTNT16Xo7+PIlOEtePQ8hh/XnUUQBFwdrJg7rBXvYlOYuVannmlaqTS9GoXy6+UHHL35BDMjOT91D0ehUjN2xzGUag2TG9elvKszk46eJDIllbZlgj76yZx584qy9k7Mqt6Yi9GRLL9/DQu5MStrdiBNqWD09YNotFpGlWlKeWsPZj04SGRWIvZG1kwO6smHnASWPN+NIAh4m3nRy7sHTzKesi9Kx8HLxEZ0856AGDHbIueh0OgKjiKRmLrOk7Ez8uNc7ExS8l5/9p1JxKZUcFqLmawUDxKGkqq4xZdCIrHHwrwn1pbfYG05FhurCViYdUEk+vtqD0FQlqjoKkJcZMauyh9cIRfrV5QlK1NQCSpcjAtToAX4LeE+7iYOlLEwrMe/lviKXe9u0N2nBq3ci7covpX4nnanNzDl9nF8LezY3bAXEc0H0jegKrZG/6w/vlqrJVOZR2JuNh8y03mdlsyL1CSepiTwMCnu49/rtJKbtf0nt5r4nEx2vfgdGyNT7E1MKWPjSGNPP9zMrfC3tiPQ1gFb47/25d2I+sDM387xPDmJDoHBTKvbAEsjwzLE8y/fsPnmXbqFlKeSu/4CytF7uqECLcrr18U+j06kjLv+gk1qZi5W5vqzEUPdqgBiie7/+vTv8CljN3Rj+DNuXniKm7c97r5FF5a+BNZ25ny/oT9bfjrFnjXnefkoiuk/98ZBz6g+Hz8n5i7rwaRhW5g4dAuLf+mLdb7dsJeXPbNndmD8pF1Mn7mPBfO7IJNJaFgzgFeRiWzZdx0/Lwc6tAyhapAno7rUY8mOC2w8eoP+raszMrw2j9/FM2fXWfxdHQhwd2BOx6aM2XGMhccvMrV1A5a1D6Pt+u2M2HeUPX26ML1uAx7GxzHu9AkOd+lBl4Dy3IqP4qd7VwhxdKWuuw8zQ5ox+dYxlj2+xOhy9fL59lWMvbOLbbUGE2JTmr4+LVn/9hiBUV6096hHXYc6vMp6zdHY45Qy9yXEphK2cie6eo1n45tZ7Hn/Ez28JyMWiZGJTWjqOp9D7wdzMnoCbTzXYCr9xCPLJNZUdN7A3bgePIgfRCXnLVgafbnm/N+AVlAhFhUvtRWJRAhFtMqr8gvIMpH+azROofOjcTLWrwjJUGXze9prvvJsaJDyyNUomfXgIL7mDowIKJqD1woCSx9dZMWTy7iYWrK0RjvCPAL/Mp2SrVLyMi2Zl6lJRGWlE5udSVx2Fgm5WaTnKUhXKshWFS0HLUB155JNl4L/KLCXtXPiTq/R/9jzaQWBc29fs/bubW7FRONmYcmasDY0KeVX5OOeJyQx5uBxgpwdmdi4rt41Ko2GPTcfUNPfC1ebwlRLckY2UUnpdKqt35AsKTWLUu76iz5KpQa5ASqlYHygIQ6+oOgqlRa/6dJotDy+HUmD1pWKXfulkEgl9B3XgsBKniwYu4vRnVYye10/fMoU7twNCHbjux+7MWXENqaN3sGCn3tjkt9gVaGCJxPGhTF3/hGWLjvJ2DEtEIlEDOhSizfvE1m28TwerrZUrehN5yaVePI2jl8OXCXQ24ma5X1Y0LclXRZsZ8y6w+wY351m5UrTq1YsW67cpYKnC60qlmFRmxYM3HWAmSfOMb9VU1a2bE34rq0MP36EXzt15ftaTXmUHM+o345yvG0fOvlU4HbiB1Y+uUwlezfqu/gxt2Inht7cwncPDzG3Ykc6ezbiacY7fnlzmNKWHpS18qWHV3fe53xgzet1zAieiquJK77mZQlz7ceRmLWcjd9FE+duAJjJHGnmtoAjH4ZxKnoSYR7LP9rdAsgldlRy2sSduK78Hj+Aik4bsDD6v6FRioJam4VEVBK7W1GRU4JU+QVYmVj/TSIpT5elOho56D1+L/UlWrTUsDP8nWx7c5U4RTobavTHWGJ4l6FQqxh/8wjHPzylg3d5ZoU21zvHwRAEQeBVego34z5wI+4Dd+JjiMr65N4pAuxNzHAxs8DN3JJgOyes5EZYGRljLJVhIpFhLJUiE4uRiSVIxGIkok+DRG2MTSnaxf8T/hMq5p9yWHualMjym9dosnUjg44eIjozg6l16nOqR59ig3pMegZD9hzCTC7n505t9OraAU4+fElCRjY9aurfvt17o+NNK/kW7ogTBIHEtCwcbfRrdPOUauQGqJSCr8jQRaFR6wK7WI83/J8R+TyO3Ow8gv9g0PVPo3qjYBbt/BoQGNtlFTcv6G+YKVfJiynfd+TVs1jmTPr1Mzln40bBdO9Wk+MnHvDrXp03ulgsYvqoMLw97Jm+5AhRsamIRCKm9GmCn7sD01YfJyohDTtLMxb3Dyc+LYspmyPQaLWMaVGbUG83Zu4/zav4JOqW8mZo7WocePCEPfcf4WFlxeImLXiUmMB3F89jIpXxc8M2Or//c4dQabXMCm1OGWtHxl4/THR2OjUc/BhauiERMQ/Y/e6mrks2sBtOxrbMfryZVGUmcrGMEX7DkIvl/PRiBdlqnfKjml1zQm0acSFhL4/Sr3383HbG/jR0mUFy3ksuxM0plOEaSZ2o6LQJsciUe3G9ycj7vMHpv4BayEQqLt5tsLj5xup8xYzUAK2TrExGjBhruf6i6N3U55hJjAmw0J/NpuRls/H1JRo5BxFShIlWplJBjwvbifjwlAnlG/JD1VYlDuovUpOYf+s3au5eTeN965ly5RTXYt9TwcGZcaF1+KVRO853HMCLPmO53W0YR9r0Yn2TDiyu25Lp1RsxqlItBperSq+gSnxVuhzt/IJp5VuGFt6laerlT5P8v8pOxQ8iKcD/TPG0OAiCwJvUFA48fcK082eot3kdYTu28NP1q9iamPBTs5Zc6D2A/pVCDQbpArxISKLH1l/JUOSx5qs2OOvxfgGddv3ns9cp5WhLndKF7X0Brj6NxMxYTqBHYYojNTOXHIUKVwf9rnWKPMOF1YJM3dCFoc3P2Euibnn9JBqA0uVLvpX7K/ANdOXHX4fj4mnHzEGbOLLtqt51NeoFMHJyK25fe8WC6Qc+k3z27V2HunUCWLP2PJcuPwfA1ETOvIltEItETJp/kJxcJcZGMhaMCEckEjFu6SFyFErK+7gwqWMDrjyN5JcTN5BJJCzq2hJTIzmjth0lS5HH8DrVqe3rxeyT53kUG08j31IMCa3KzkcP2P/0MaWs7VhYpwV3E2KYd+sCJlIZK2p2QCNoGXZlH3kaNf396lLXMYBFTyJ4mPoBM6kJM4L7kq3OZfbjTai0auyMbBnu/zVJyiR+ebPuYzE13G0gHqal2ft+KdE5n3h1T/NaVHMYxrusi1xPXF7IysFU5kmoy3akEmvux/UjI+/hv/ALlhwqTQoyiX4xwucoOrBrtDpttsRAYE9TpmEls0JioC7wKP0tZa18kRjoEt0ZeY1cjYrhAY0NvgeVVsPgK3t5lBrLipodGBxYo9jkUysIHHv7jFaHNtNk/wZ+eXiT0jYOzK/djN86DeRml6GsatiGERVr0MzbH18r20Jusf8m/mcCe55aTWJONs+SErn0PpKDz56w8tZ1xp8+QadfdxLyyyoab93I2NMRHHz2BH9be+Y2bML1/kP4tVNXWgcE6p1s9GdEPH1B5827UGo0bO7egWAXw91c267eIzIplbEt6iDWw4ULgsDlJ5HUKOOptwHpQ7zO98PDSX+2kZ2Th5kBS4CPHasGzi9NflG1gIsvCm+fx2JkLPtbapiSwsHFmsW7h1K9URCrZh1k9+pzev1mWrQNYcDIJlw885iVC49/XCMWi5g8sRWBZVyZO/8Iz57rrGFdnaz5bmw472N0GnetVsDN0Zq5Q8OIjEnhu3UnEQSBDrXKEV41iF9OXOfy47c4WpqzpFsYH1LSmLr3FGKRiEVtWmBnZsrIfUdJy1UwpkYtarh78O35MzxNSiTMpwz9gkPZ8PgOR948xdvClgVVw3mYGsvse6cQi8TMqdgBR2MLxt3dRUpeNr7mrowJ6MLD9Desea2bQRNgUZqunp25n/Y7h2KOADrKoYfXJMyklmyNnEu66lNBLNi6E2WtO/E4bS8PUrcX+s6Mpa6EOG9BKrHkfny//zRzV2qSMJLop0e+BBqhILDrD3rpqgysZPqHtWepcnmfE0+glbeB96hm7/vb1HMKwMfc8Hudc+80NxLeMa9KK5p7FN3dKggCEZEvaLJ/A0PPHSZHpWJm9Ubc7DqUzc060jWgAt6W/72vzH/Csb9MSabRlg3kadQoVGqylEqUWv2SKEczM3ysbWjpX5ryjk5UcHbB39buo7lWSZGak8v3py9w+NEzKrg6s7xDuMFMHeBlXBLLT1+lfqAv9coUHoQN8PvbWBLSsqhXVn9H3Nto3UXr7aJfyZOVk4eZAXdGQfvJnL+o48VJPgGi3ybh5m3/xdr1vwpjEzlTlvVg8cTdbFp8gtTETAZNDS9EG3XqWZOMtBz2bLmCk4s1nXvr5GoFMsihIzYzbcY+Vq/sg52dOZXLexWyHaga7MXwr+qwbPdFtp+4Q48WlZnSuSHPoxOZsiWCHeO7UdnHnTHN67Dw+EU2XbpD37qVWda+Fd227Gb8oROs6dyGn5qHEb5zK0OPHeZQlx5MrlKf3xPjmHj5BIG2jjR1D2BgmeqsfXadUHsP2nmXY3FoV/pcXcuke3tYVbUXDZ1CeJn5gb1RFyhj4UVj58o0dmxIZHYkB6MP42XqSYhNJcxl1vT0nsqa15PZHvkDA0vNRibW6Z2rOQwnV5PKraQ1mEmd8LP8vNhnLHWlktMW7sX35m5cL8o5LMPOVH996N+CIGhQqGNxMC1Jk1vRJnJadNe92EBgz1RnYiHTT/m8ytKZr5U2QMNcTnxBqjKbjp5VDL7+uZiXbHt1h/4B1WjnXXRhOjk3hwmXIzjz/jX+1nasaBBOS++AL45Ff0a6QkFCdjaJObq/NEUumXlKMpV5utio0ZCnUeNrXfKpT/9JYJdLJAQ7OmIkkWIklWIhl2MhN8JcLsfe1BR7UzMczMxwMjPHtBhapThk5SnZdvs+a6/dJkepZHid6nxdqyqyIrZFeSo1E3ZHYG4kZ1Y7w1u4Y7eeYiyT0rCCfj7/5YdEzIzluNgXpmLUag3ZOUqsDPipa4qhWgr8JUQGVDV/RNyHFDxK/XNqmJJAKpMwflEXbOwtOLDxEmnJWYxf1KWQiqfvsEYkxKWzYcVZHJ2taNBMd3HZ2Jgx57uOjBi1lekz9/Pj4m7I5VI6hYXw6l0iG3+9hp+3A/Wql6Z781AevY5lxZ5LBHg5UiXIkyUDWtF1wQ7GrDvK5jGd6V07hPvvY/jx5GXKujtTxdedyU3q8d3J86y5cpOva1djWfNWdN+/h4lnTrKqZTgrG7am5cFNDDl7kEOtezKuXAMeJMfw7e3jBFo7EmjtypSy4cx4cIDlz88wOrAZA3xb8TIrip9e7MHHXDeYuLd3T6JzY1n9ei3fBk3G09QDZxMvvvL4hu3vfuBA1Co6eXyjG8ogElPXaTLZ6iQuxs/DTGqPi+nnRW8TmTuhzrv4PWEgDxK+poz997iYt/0/+23zNPEIqDCRFW/3K6BFVAQxUDA/VmSgGz1LnY2zAanj22zdbs7XTP/QnRMxD7GRm1HNXn/ilZKXw+Rbxyhj5cjYcvUNvkeAy9GRfPPbMTKUCqZVa0CfoNASMQR/RK5KxcOEeO7HxfIsKZHItDQi01NJU+gfRGIkkWIul2Eklepi5Rfo5f+TwO5lZc2y5q3+1dd4npDE4UdP2X3vIRmKPBr4+TCuYW38HYoevyUIAtP2neZFXBKrerfB3kJ/5T9boSTiznMaVPDDzABP/jQyAX9PB700TlqmrjHDytKAFLKEHHpJtnyJcWmE1i1d7Lp/GmKxmEFTwrG2M2fjoggEYMKfgrtYLGLsjDakJGWyaOZBLK1NCa2muxBL+ToyeWIrZsw6wIJFx5k6OZ9TH9SYyA/JzFkegaebLT4e9kzr34y3MclM/fkYW2Z2x93emnm9WzBizUHm7j7Hdz2aMqdDU76K3cG4XcfYO7w73UMrcC8qlqUXr1HBzYWaPp5MrFWXuZd/Y/29OwwIqczy+uH0PPkrky6fZFn9Viyr2Y7Wp9Yz9Mo+DjbpRxuPEB6lRbP5zWXKW7vTyCVYZxZ2ezEzH21gZegYLGVmjPIfxszHs1n2cgUzg6ZhLjMn0KoqTZy7cSpuO3ZyFxrl2w5IxHKauM7lyIevORUzmTD3pdgbfy61NZI6EOK8jYcJw3iaNBG1NhMPy57/J79rjkrnWmki9SpmJQj5tQWDx/M17mIDwT9HnY2ZRL/0+X1OPBZSU2zlhakapUbNpYQXtHKrYNClccnDC6Tl5bKpbtcig+bWp/eYfu0MflZ2bGv+FWVsS0ZBCYLAy5RkTr95zbm3r3mYEI86X77sbGaOj40tLfxK421tjbO5BQ6mZjiYmmJtbIKFkZFeTn5RiV75f4hj/7vQaLU8jo1n9ZWbhK/dSvjarWy4fodqXh7s7duVNZ3bFhvUtVqB2YfOcez3Z4xqWssgBQOw98oDsnLz6FZPv1pGoVTxLDKe8n76tfHJ+cMm7AwoZlT5qheZ7O8VXBQ5ShQ5SmzsSz4v8Z/GV4Mb0H9iGBeP/c6Ccbs+NlcVQC6XMmNRFzy87Zk9YQ9vXsZ/PFandgAD+tXj3PknbN2m68CUy6R8P741JsYypiw4RFa2rlaxYERrVGoNE5YfIU+ppnawD4OaV+fIzSfsv/oIc2MjlvYIJ1uhZOzO46i1Wr5r2QhfOxvGHDxOXEYm/SuF0qyUPz9cucitmChqu3kzNqQ2h988ZcvTe9gbm7OsRnuis9MZn28WNj6oBWWt3Zn+4ACRWYnYyC2YHtyH5Lx0vn+yBY1Wg43chhH+w0hVprHq9Ro0+d2YdR3aE2LTgHMJe7iXev7j5zaSWNDCbQlGYgtORI8lTVl4cLRUbE55x1+wN2nEy5Q5PE+eWazl7z+BLKWur8NCXjQfDaBFi6iI0Xt/nAeq75hCm4exRP+uNiY3CTcTe72PvZ/6nlyNkjqO+ntP3mamsPvNfbr5hRBoY7jOtvnJXb69epqGHr4cbN2jREE9OSeHlbdu0HDLBppv38zia5fRCgKDQqqwtlVbbg74mqv9B7O9fSe+b9iEgSFVCC9dhuruHpSytcPO1PRvF1r/vwzsuSoVT+ISOPzoKYvPX6b/zv1UXvwz7TbsYMmFK5jKZExv1oArowaxsmM45V0Nd60VIDtPyegdR9l94wH961VmYH3DvFxmbh6bztymWmkPynnr3wY+fh2HWqOlgr/+wJ6YrDMOszcQ2NVFmId9CdJTdK9jZVvy6Sv/BjoOqPcxuM8btR3Vn3zozS2MmbO0O6ZmRswYs5OUpE9e3127VKdJ42A2bbnMlas610cHOwtmj21NTHw63y09hlYr4OViy3eDWvAsMp5F284BMKh5NWqU8WL+3vM8fh+Hv7M9M9s15k5kNEtP6vxjlncIJ0+tZtT+Y6i1Wn5o3Ax3SytGRBwlMSeboRWq08ijFLNvnONeQgyVHTyYVLERZ6Jf8Muza8glUhaGdEYuljDmzk6y1XkEWXkzsnQn7qa+YMPbY4DOnbCXdw8eZzxhz4e9gC6gtXEbgq95OQ5E/cy77E8yUTOZIy3clyBCQkTUGLJVn7x2CiARG1HOcTmelgOIztzJg/ghJfJJ/zvIUD7GSOJcIlWMLmMvPszoU3+pBDUaQWMwsMfmJuNsol8QcD3pFVKRhMp23nqPr312DZlYwtDAWgbf08nIl0y/doamnn6sbtQWM1nRDVkxmRnMvHCWOpvWsvjaZVzMLZjdoDHX+g3mQOfujKtZm0a+pbA3/Wc7V/XhP6FiMvPyOP9SN4RBKwhotAJqrQaNViBPrSZXpSZPrSZbqSRdkUeGQkFqjoKErCziMjJJV3yyO5WKxZSyt6VN2TJU9nSjiqc7ThZfFsSiUtIZsfUwr+KTmRhWj5619PuxF2DtyRukZecyqo3+maoA1x9FIpGIqVRGv8dFfKKuccHZQX/FX6lSIxaLDDYgFby74iYcZee36Jtb/rezUUEX3GUyCavnHGbxhN2MX9z1M6rJ3tGSWUu6MnbgRmaM3cnCNX0wNpbpXB9Ht+D9hxTm/XCUlct64eVlT4Ugd0b1a8CStWfZsPsKA7rWpk6lUvRpVZVNR29S3t+V8Dplmdu7Bd0WbGfc+mPsnNCNVpUCufsuho2X7lDJy5VGwX7MCWvC6APHWXjuMlOa1GNVWGva797BNyeOsaVtR36sF0bLg5sZeu4Qx9r2po9/Fe4mRbHo4QXK2bpS08mbHyp1ZsiNTcz4/QALQzrT3KUaLzI/sOfDeQIsPKnrWJF6DnV4n/2eE3GncDNxpa5DHaRiGd08x/Pzq4lsj/yBIX7zsTXSJSNWcg+auS3k2IfhnIgeR5jHMowln9dsRCIJfrbjMZX58Dx5Ondju1POcQUmsn9e3ioIAmmKW1gbG058PluPGnEJwoy+fg2VVrf7kIkL19kEQSApL506Bky/fk/9QBkrF0ylhcUJGUoFh989po1nMA4m+mPFi9QkRl88SkUHF5Y3aF3k0A2lRsP6e7dZfvM6Gq2WtmWCGBhSuUgbky+FIAioDHSh68N/EtjfpaQxeM+hYteJAAtjIyyNjbA2NsbdypJQDzecLczxsrXG394OT1vrv7xtyVWq2HjpDht+u4VUImF1n3bUKl00b/giOpEdF+7RtnpZgjwNb+GuPHhLeT8Xg1OVYhMzkMul2Frrv3srlWpkMonBG0zB/wUDXjIFyMnW3QRNzP7+bNR/Am1610aZp2bDwuOYmBsxcnaHzz6jfxkXpnzfgZnjdvHDtP18O78TEokYuVzKdzPaMWToJqbN2MfK5b2xsDCmXbOKPHsdz6a91wn0d6FW5VIMbl+Tx2/i+GHzWfw9HCjj7cTC/q3o+9Mepm4+wfIhbZnUqh6PouKZuvcU/s72hAUFcOdDDJtu3iXUw5VmZfyZ3aARE86c5MfrVxlXszarG7Whw9HtjLpwlE1NOzKvShgv0hMZde0Ah5v2p6q9L6PKNOXHZyfZ/OYKfUrV5mu/trzKimLhs514mDrhY+5CN68uxCri2BS5FWdjZ0pb+GMiNaen9xTWvJ7M5rdzGOw37+NUIXvj0jR2m8up6ImciBpLS/efkOsZTOFq0REjqROPE8dwM6YtQQ4LcDD98kHVRSFXHYlSk4C1UdGzRwugFTRFZuwfz2M9CUpB85JMVDhMZapzUAlqvfy6RtDyOC2adp6hel/z0LtH5GpUdPfTfzxXrWLw2QOYSuWsadQWY6nhMPk8OYlvThzjeXISzUr5822d+rhZ6k/WioIgCMRkZPIsPpHIlFSi0zOJTksnLjOL1JxcUnNzCTFgeaIP/0lgL2Vvy86+XT9mnVKJBKlYhEQsxkgqxViqU8uYyKR/W0qkD0q1huO/P2P56avEpWfRtKw/41vW1WsZ8EfkqdRM3hyBtZkxI8INb+Hex6Xy6kMSo7vWN7jmQ0wqHs7WBgN3nkKNcRFDNArUMNpiMnZV/ng9udHfUxf9k+g0qD7ZWQp2/3wOuVzGkGmtP/seqtcN4OuxzVm16AQbV55lQL53vIODJbNmtGfM+B3M/v4Q877XBf2xAxrx6m0Cs5ceZ/3Cnrg5WzNnSEt6ztzGxBVH2DKzO2W9nJnQoR7f7z7H+tM3GdisGj92D6Pjct3kpe1fd2FS47o8iIlj8tFTBDja0zGoLLdjoll1+wYhLq409PFlZvVGTL5yimX3rzI6pDaranWg3emNjLi6nx0NetLLt5ZupN7z0wRbu1HFzofpwX0ZdmcxMx6tZ0XoaCxlZgzzG8Ksx3NY8WoVM4OnYSu3xcHYjR7ek9jwZibb3/1AX58ZSPOzVTfTyjRymc3pmCmciplEc7dFSMWFd2F2JnWo4nqQRwkjeZgwFG+rr/GxHvGPGH8BJOWcy3+dkkkstYLaYPMR8FExo9VjFFZQh9Cncc9Q6WpUVrLCN7io7BQUWhVlLPXTpMc+PKG0lQNlbfUf//nBDd6kp7K9RWeczQzXpk68esnok8cxl8tZ26otjXwNDwL5MyfwvNIAACAASURBVFQaDQ9i4rj69j0330fxND6RjD8wEeZGctytrHCxNCfY2RFrE2P87O3YUsLn/084dhOZjPKuzpTL/wt0csDfwR5fO1vcrCyxMzPF3Ej+jwf1t4kpLDlxiSYL1jF17ynszE3ZMqgTP3ZvVWxQ12oFZu86w+vYZGZ1b4athWGeLOLqE0QiaFhFvxskwLvoFDzcDOtSFQolRnqGYxegwDxMa8CvvQAFtr+SEnjKFIfM1Gx2/RTB5nmH2LbgCDuXHOPq8XuF+PKSoPfoZrTvX5fDW6+wecmJQsfbdK5GeMfK/Lr1KuciPjXilC3rzqgRzbh95y0bNl0EdLr3OeNbIxKLmLLgEIo8FTaWpvwwPJzE1Cxmrj2BVivQsVZ5WlQuw8/HrnHz+XvcbKyY16k5z2ITmXfkPHKJhKXtw5CKxYzYdxSFSs3M+g0Jsndg7KkIojLS6RpQgY7+ZVl67yq/Rb2llKU986qEcS85mvm/n0UkEjGrQjs8TG2ZeHc38bnp2BtZMSO4H0l5abpiqqDFTGrGqNIjyNPksezlSvI0uova2yyIDu7Dicx+woGoVZ9lsp7mNanv/C1xuQ84GzvN4GQiE6kbIc47cDHvQGT6z9yN60WO6v0X/0Z/hiBoiM06iLk8CBNZ0XMQCqARVIj1ZNwFEOdn8/oy9gIppFhPxp+h0tk0WMgKX4evMnXFdz+LwjvqxNwsbid+oKVHoN73E5OVweoHN2jtW4baroZ377sfP2TY8cMEOThwvHuvEgV1rSBwPfID4w5FUHXJz3TdsocVl66TlaekZWBpZjVvyO7enbk15mvujhvG4YE9WNO5LXNbNWVCo7q0r1Byj6D/PSPhfxAZuQruREZz9eV7rr16x9vEVCRiEXUCfOhSrTy1/L31ShH/DK1WYM7uMxy9+ZShYTWoFeRtcK1SpebAhYfULO+Dk63+u32uQkl0XCpN6+o/uQBycpWYmhku1oglBba+RfNuf+zo/Du4ceoBP32zhdSEDMRi0Wd2wpa2ZtRvX5Wm3WrhV754bTPotuADJoaRm5XH7tXncXS1oWXX6p+tGTK2Oe/eJrFkzmFcPWwpU1YXTMJaVuD5i1h27rpOmQAX6tQOwNXJmhnfhDH++30sWH2KaSNbEuzrwjdd67Fo23m2Rtyid1hVpnVpxPOoBCZtjmDXxO7UD/RlYP0qrL1wi1BvN1qHBLGwdXMG7j7InFPnmRPWhBUtw2m9axvDI46yp2MX5tRswqOkeEZdOMrxtr0J8wziblIUm17eItTenTDPIJaEdqXHlTWMu7uL9dX7E2TlzYjSHVnyfDeb3kbQ3zcMNxNXhpQaxNKXK1j3diNDSw1GJBJRwaYuKcp4zsTvxM7IhYZOX338TkpZNkapzeZKwiLOx35HA5fpegOnRGxEGbvvsTauysvkOdyKaYOfzQRcLbr85a7ImMw9ZKteEOzwY4kfoxGUGIkMZ73ifMVMQaNSSZGj0dWOzPQUVt/npADgZVaY474c/xYBaOSqP+la8/AmGq3AxMr1DL72kRfPmHL2FHU8vfk5rHWxFibZSiU77vzOrrsP+ZCWjoWREWFBAdQp5U01Lw+sTf75+tf/14FdqxXIzMsjOTOH2LRMYtMziE7N4HV8Ms9jE4lK1fl+G8ukVPFxp3O18jQvH4CDAW26Pmi0Wub/ep79Vx/Rv2lVBjYr2s/81PXnpGTk0LWZfv4O4PW7JAQBSvsYbhrKyVFiaqArFT7p2w2N1itAwUVsyNe9OGi1WlZN3MnRjb/hHeTG7F0j8SvviVarRa3S8PulZ5zZdY2IrZc4vO48zbrXpt/0dljZlcAgSiRi2My2JMWls3LWQexdrKha/9PNTiqVMG1+J0b2WcescbtZumkAjs66wuHwoY15+SqeHxYew8vLHk8PO6pX8qF/51qs23WF8oHutG1agU6NKnLveTSr912hnJ8rIQHuLOzXiu6LdjBxwzHWjuzE8MY1uf8ulu8OniXIzYl6fj4MqVmV1VdvUtnTjbblgljQuDlDjx9m3uXfmFGvIT83akP4oS0MPXeYPWFdmVihEQ9SYpl06yilrRzwt3LkuwrtGXd3FwueHOfbcq1p4VKd5xnv2fX+DKUtPKjjUJ5KNhX5yqMjuz/8iquxC+3c2wBQ37EjSXkxnI3fhZXMjlDbT1x5oHUb1IKCG4krIBaDwV0kEuFi3hYb42o8TZrK85SZJOScwM9mEhZGhpMKfVBqknid9hPWxlVxNG1R4sdpBRWSIux9C2iWAs+Yz95/gcOpnscpNDpXSGNJ4WskJicVK5kJ5rLCAfNqfCS2RqaU0TMYOik3m53PH9DOLxh3C/3+Tpffv2PsqQgqu7oVG9Q1Wi277j5k+aVrpOTkUtXTnZF1a9CsjD/GJRyQ81fxnwT2t4mp9FqzRzeFW6ybwF0wibsgl9D5OAtotFo0goBao0WRr5ZRKFVkKpRkKBSFbG3FIhGedtaUdXemY9VylPNwJsTLFXkRBRBDSMrIZsb2U1x5EkmfxpUZ3qpmkdmOSq1h3eHrlPZ0oEqgYUXC01c6j+nSvoaLr1nZeVga6EqFT9SKWl10YC+QS2qKWWcIB34+w9GNv9FuSGP6Tmv3kasXi8XIjcRUaVyOKo3LkZmWze6fIjiw+gxXjt6l15Q2hPWpV2yDlUQqYfLS7kzovpq5I7cxb/MgAit92gJbWpsyc3EXRvdfz3cTdrNkbT/kRlLkcimzprdj8NCNzJi5n5XLe2FqakSvDtV58CyaZRvOEejnTICvE1P7NeHlh0S+/fkYW2f1oJSLHdO6NGbqlhOsOnaVka1rs6BLCzou386YHUfZNawbI+vV4G5UDDMizlLW2Ynmfv70rRjCxvt3qeLqTkv/0iyo05yh5w4z/9YFpldvxIpa7Qk/uZ5hV/axv0lfGrsE08e3NpveXKaCjQfh7pUY6t+e11kxLHi6HXcTB3zMXWjh3Izo3BgOxhzGw9SdyrahiEQi2rkPJUudxsGo1VjJ7PGzqPDxeyln0xmAG4krkMYbUddpssEipbHUhYpO64nO3MmbtKXcim2Hs3k7fK1HYSwtXgqs0Sp4kDAMraCgtO30L8r4NYKymMAuzV9XOLAXUDBaPROYlPk3Arm48HWdoMjAyUR/YL6XHEWovbteK459rx6Tp1EzuLz+8ZjpCgXjT5/Ax9qGdeHtigzqzxOSmHD4BE/jE6nm5c6Y+rUMznsoCQRBIEdZ8h6F/8i2FyRiMQICSrWGXJWKbIWStJxcUnNyScnOJTkrh5TsXLLzVKg0GsRiEbZmJnjb21DRy5UWFQIY3KAaE8PqMf+r5mwe1IlTE/pxd/YIjo3tw+JuYQysX5XqpTy/OKgLgsCJO8/pOHcLt158YMpXDfmmTZ1iT+j95x8Qk5jOsI61i1z78Fk0TvYWOBaR1WZlKjA3NxzYPwXsorew8vwCbJ7iyxtXVEo1e1eeIqRBEINmdyqyAGthbcaAmR1Z9dt0/Cp4smriTqZ1XkpGSvGaahMzI75b1w9bB0tmDNpI7PvPJ8V4l3Jkwqz2vHway8qFxz/+39HRkunftuVDVAoLF0cgCEK+zW9LrC1NmbboMJnZCsxNjJg/rBWZOXlMW30cjVZLWJVA2tUoy4bTt7j6NBJHS3Pmf9WcN4kpfH/4HFKxmMVtW2AikzFy/1FylCom1qpLRScXJp05ydu0VMJ8ytA3KJT1j+9w7O1znEwsWFqjLW+zUphyS2dsNjygMZVtffj+4RGepcciF0uZUbYvplJjZjxaT4YqG5FIRG/vnvia+fDLm/W8z/kAgFQso6vXOByM3djxbiHxis+blMrZdP44O/Vqwk9FDrQQiUS4W3ajhtspPC37Ep91hOvRTXmcOJbknIsGx9flqqN5nDSWjLz7BNkvxFxuuG6kD2qtQm+RtwCS/OKwWk9jlTQ/6Kv1vLeCwqpUjwwxWZmNnbxwUTVTqeBtZgplbQoXTQVB4NcXDwlxdMXfWr9McdZv50jOzWFR0xZYFDG8Z/+Dx3TcuIOkrGyWtg9jS/eOXxTUlWo199/FsPHibcbtPE7H5dupMnMlo7YdKfFz/K2MXSQSLQTCASXwGugrCEJa0Y8Cb3sbNg7s+Hde+l+BIAjceP6edaducvtlFEGeTszp2Qxf5+L1qElpWfxy4CqVAz2oXs67yNf4/UkUlcoWrTHOzMzFooiMXZrfkfpHP3N9MM53j1Tk5BW5Th8eXn1BakIGIxfXL3GW5hXgyrx9ozm5/QorJ+xgeMM5TN0wmIAQ/bbHBbCxt2DOhv6M6rCcWUM2sXj3MMz+8Plr1Augc5/a7N50mYBgN1q201FdlSp60b9vPdauv8Chwx60bROKtaUp340NZ9i0XcxdcYK5E9rg5+HAhJ4Nmb3+FJuO3KR/m+pM7NiAh5GxTN1ygt2TelDT34vBDaqx+twNqvi40zY0mMVtW9Bvx35mnzzPvPCmLG/ZivCdWxlx/Aj7vurGlKr1uZ8Yw4RLEQTbOVLDyZsxZeux6OEFqjh40NO/Mj+EfEXXyz8z7u5OdtT+Or+Y2pdx91cw/+k2ZpcbiFwsY6T/MGY+nsNPL5YxI/hbrGRWGEvM6OU9ldWvJrHl7VwG+83DUvap6F7Jtg9qrYIHqTsQ0FLLcUyR8kKZxAo/24m4WXTnfcY64rMjiM8+ilzigLVRZczkfhhJnNAKecRnHyc97w4ApWzG42jWtETnwB+hFvKQGpiOBJ982PUG9vxsvEDP/kd89ErS09iUrszB3bRw89TzdF2DV7CeTtMXqUm8TEvm+5r6jc1ux0Rz8PlTRlStTjlH/TttQRBYefkGyy5eo7q3B0vatMDevGS0b3JWDmcfv+LUo5fcjYwmLz9hc7W2xNfRllBvV8q5O7O+RM/29zP200BZQRDKAy+AyX/z+f4TZOXmsf/qQzrO28qQlft5E5fC1M4N2Tq2S4mCuiAIzNt0hjylmom9GxcZBF+/SyI5LZuqFbwNrtFotGRmKbC2Mqy8KbAJVimLDuwFwbGgUelL8Pvl50ikYirWKb51/I8QiUQ071GbRUcngEjE2LAFHN98sdjHuXrZM2VZDz68SWTB2J2F6ge9hzQgpJovqxZG8OxR1Mf/d/6qGtWqluLnNed48UJHc5UNcOXrHnW5dPMVvx67C0Cr2sG0qBHI2oPXuPvsA8ZyKQv6hZGrVDF5UwRqjZahjapTxcedOYfO8TohmVo+XgytXY19Dx5z8OET3CwsWdikOU+SEplz6QJyiYQVDVojEYn5+uwhFGo1gwNrUt+lFN/fP83vydHYGZmzMKQzcbkZTLm3F62gJcjKm6H+7bmV8oytkScBsJHb8E3pEWSqs1j2chXK/IBmLXegh/dkcjSZbH475+Pc1ILvuor9ECrYdOdZ+iEuJywqMnMvgInMnQC7mdT2uERZh5+wMa5GWt5t3qYt51nyt7xImY1am46v9WhquJ3By2pAsc/5Z+iaanKRivX7IYFuJiyAOn/26R8hz5+qpC+wf6JSCjPwWeo8zKWFk6LILF1R1dui8DV99oPOG7+xZ2FDP0EQWHD1Eg6mZgwO1U/TCILAvDMXWXbxGu3KB7G+S7tig7pGq+XUo5f0W7eX+nN/YdbBs8SkZtC5WgWW9gjn4tTBnJ7YnzV92zE5vAGtKpW8LvK3ArsgCKcE4SM5dh0omQbqP4ZKo+F5VCKbz95m4LK91J+0mu92nkEqEfNdj6acmNWfTrUrlFhuuWrvZS7df8Pwr+rg5Vx0m/W1u7qO2yoVDEupMjJyEQSwKiKwS6RixBIRKlXRUkNzK91FlZWRW+Q6fXh2+w1+5T0xKYISKgoBId6sPPctleoFsmzsNn5dVljW+GdUqunP4Knh3Dz/lE2LP18vkYiZPKcDtg4WzJ74K2n5fjtisYhJE1thY23GrNkHyMrS3cQ6h4dSu0opVm39jWev43TTjno1wt3Jmmmrj5OakYOvsx3fdm7EnVdR/HLiOhKxmAVdWmAilzFu53EUKjXD6lSnqqc7MyPO8SY5hUY+pRgUUpntD3/n2IvnuFtYsaReS56kJDD7xjnEIhGLq7XBycSC4Vf3k5qXQwUbT8YHteBy4gvWv9Ld5MJcatDMuSrb353iSqJucIaPmTcDffvxKusVWyO3fVQ1uZv60c1rPAmKD+x8t/gzTlokElHZfjAVbXvxPP1IPi1TsmK5WCTH0awFwQ6Lqe1xmfpeD6nhdpbqbiep6noUb+shf7mDVSMoEdAgExk+f2SiguBdeEcpEUmQiqTk6TlWwL9r9NzEcjVKTCWFef2o7DREgLtZYf79Ssw7Am0d9OrWr0a953ZMNCOqVjfoNrv73kM23bxLryoVmd+qaZHusRqtlogHz2m3dCujtx8lOiWdQQ2qcmBUT46N7cPEVvVoHOyHnflftx74Jzn2fkBESRaqNFriUzOJT8siKSOb1KxcMnPzyM3n00t6UhqCRqslPVvBh8Q07r2O5titp6w/dZNZO07TbcF2ao1bSecftvHjwUukZ+fSs2EIm0Z3ZteE7rSuFmxwDqk+7Dx5l83HbtG+QXk6Nyl+pujZK88I9HfGoQh+PSWfl7a1LfqOL5dLUeYVHdjNLIyRyiSkJX+5f0hidCrOXn9vmIKFjRkztg6lXrsqrP9uP9sWHCn29w3vUZOWXauzd+0Fzh26+9kxS2tTpi/4ivTUbBbPOvRR7WNlacK0b9uQkJjJD4uOIQgCIpGIycOaY2tlxswlR8nJVWJmImfu12GkZymYtU6nb29VNYjwqkGsO6mj4BwtzZnbqRkv4pJYePwiUrGYRW1aYCSTMmr/MRQqNWNr1KaSswuTz53iXVoajT39GFyuKtue3efQ6ydYG5mwvGZ7khTZjLtxGK0g8JVXVVq4lufnF+e4kfQakUjESP+OBFh48sOz7bzL1umvq9pWobVrKy4mXeZMwrmPn93fohJt3YfwKus+R6LXffY9ikQiQu0GUM6mK0/TD3A5foHeomNxEIvkmMjcMZV5/+1hESqtTmuur0u2APJ8/l2pJ3gDmEiMUWgK7zblH2mawue/WqvVy70n5GZhZ2xWyB5AKwg8SIoj1FH/6Lktv9/D1tiETkFl9R5/FBvP7FMXqOPrzZQmRdOWr+KT6LF6N+N26mpFi7q25Pi4voxoUpPSzvoNzf4Kio1gIpHoDKCvdD5VEIRD+WumAmqg8NiXT88zCBgEYOLgTrPp64p4TZBJJEglYmQSCTKpGKlEgkQsQiwWf+aDLAgCGkFApdaQp1KjVGvIVhTe1gHYmJtQ2s2BrvUqEuDuSGgpN5xs/rrr4d6z9/lx5wUahPoxvqfhKekFeBWZyKvIREb1a1jkuuSUfOfHYoy7jIxkxQZ2kUiEtZ05qYmZRa7T+z7i06juXKH4hcVAKpMyYXV/5MYyti04Qm6WggGzOhZpl/D1tDa8fxXPsmn7KBXkipf/p1PQL8CFQd80ZeXCCPbvuEbHHjUBCA5yY9CA+vy85hyHj9yjTesQrCxMmPFNGCNm7GbRL6eZNrIlpb0cGdWlHgu3nWPX6bt0axbKpE4N+P1tDFO2RPDrpJ7UCfChT51QNl26Q/VSHjQp688P4c0YtPsg889eZGbzhixr3oqwnVsYceIoezt1ZXzlOtyOj2bylZOUt3emvK0rUyo2Zubdk6x9do3BgTWZVq41zzNimXRvDztrD8XZRMe3D72zmJmP1rMidAxmUmPaubXhQ04U29/txNnYiXJWuqASatuI5LxYfkvcj63ckbqO7T/73qraf41EJOd+ymbUgoJ6zlOLbBD6N6HU6s5jmdhw5inPp2KUWv1UobHEhBxN4d1mQWDP00PTaAQtEj3nVrIiG3ujwslSZEYqGco8yjsUDnPJOTmce/uG/iGVMdIjwshTqxl94Dh2piYsbNPc4OAbQRDYc/MB8478hpmRjLmdmhFeMfBv95cYQrG/uCAIhidNACKRqDfQCmgkFJGKCYLwC/ALgF+ZYGFal8YICLrArBFQabSotRrUai0qjQaVWoNSrUGt0aLWalGpNWi1AmqtFk1+U05B4UQsFiGXSjCSSZFJJZgby7E0NcbK1Bg7S1NcbCxxtrHA5B9qq89RKFm49RzHrjyhTkVfvhvcskS0zf4T95DLpUU2JgEkJOr09w6ORd90jIxlJVK72DtbkRSfXuy6P0Oj0iA1MGz7SyGRiBm9tBcmZkbsW3UaIxM5vSa3MbheKpMw+afuDG/zE98P38bS/SM+87sJ71SF+7cj2bDiLMEVPAksp2MBO7Svwp27kfy85hzly3ng4+NAhSB3+naqwfrdV6lS3osWDcrSsVEFbjx+x8pfL1O5jAelvRyZ36clvZbsYtaO0ywe0IpRTWtx600U0/edJtjdifp+PvSrFsqGG3eo5eNJkwA/FjRuxpBjh1l49RJT69RnRYNwWhzcxLDzhzkQ3oMefqHcTHzP4ocXCLX3oLKDB0tCu9L9yhom3N3N+hr9cDC2ZlpwH8bfX8WiZzuZHtwHsUjMkFIDmf1kHqterWFG0FScTXSBp7FzN1JViZyM24aFzIZKNg0+fi86WmYAMrEJt5JWA6L84P5/N2+zAEqtLpmQFzH02kiiowrztPqpQjOJKTnq7EL/N8lvTMrVFE7ixCKRXquNDFUeVvLCtNCrNJ0KK8Cm8O70fOQbNIJAK3/99r/rrt3mXWoaG7u1x9ZUfy1BpdEw88AZDt55Qu3S3szr1AzbL6BZEtOzuPH8/cdxmCXB31XFNAcmAvUEQcgp6eOszU3oUKvoMVT/q7j15D3zN58hKiGN/q2r0b9NDaQlGDmXlpHDyd+e0LROIFYWhotJAAn53Z32xTT5GBnLUJQgsDu6WvPqcXSx6/4MkVhUrMnYl0AsFvP1vC4ocpXsWHwMB3dbWvQ07JBp62jJxB+7MaX3WpZO3cvEH7t9zPJFIhFjprVmaI81zJ2yl1XbB2NhaYJYLGLC+DAGDlrPnLmHWbWiF0ZGMnp1qM6dR+9Zsu4s5QPdcXO25tt+Tek2bQvT1hxn84zuBHk6Map1bRYfuMjeKw/oVLsCC7u0pOPybUzec4INAzoypkEtbr77wJSjpyjr4kTTUv70Kl+R9ffuUNPDkwbeviyu25L+p/cz9+YFZtVozNzKLXmcGsfIa/s50nQA3uYOzCzflvF3d7Pk6UkmBodR3roUA0q14pfXh9n94RxdPBthLDHmm9IjmPV4Nj+9XM70oKmYSk0Ri8R0cB9Otjqd/R9WYi61xt/icxqwgm13BLTcTvoFraChvsu3RXq2/BvI0+gCu5HE8HlcQMXkafSHDzOpGVl6ArtpfmDPVhe+IUhEYrR6iqrZqjycTAu/lzfpuqKqj2Xh+tjZt29wNjMn2KFwM2FCZharr96kRWBpavnor5lptFom7Irg1KOXfN2wGkMb1ShRlp6Ro+DwjSccufmE51E6NU9Zr+J7Dgrwdzn2FYAFcFokEt0XiUSr/+bz/U9CEARuPnnPN0v2M2zBXrRagVUTOjG4fa0SBXWA7QduolJr6NK6eFe82Ng0HB0ti23uMTGRo8jVTzv9EU7utsRHpxaref8zzCxNyEor8f26RBCJRIxc1J3KjYJZPnYb147fL3J9hep+9PymGb8d+52j2699dszcwpgpczuSnJjJsnnHPnLOtjZmTJzQireRiaxZqxteIZGI+XaEbmc1e9lx1Bot1hYmzBzYnLcxKSzdrStodq8fQs1ALxbvv8jbuBS87K35tk1Dbr+NZt1vt5BLJPzYLgy1Vsv4QyfQaLVMrl2PMvYOTDh9goTsLBp7+tE/OJRNT+5yMvIlFnJjVtbsQGpe7ke+vYlLWbr71GBn5HXOxD4GoKN7feo5VGTjm2PcSXkOgIORPcP9hpKQl8gvb9Z/9E+RimV095qIo7EHO98tJl5R2Aumom1PqtoP423WOU5HT0JlICv+t5Cn0e08jcSGfZjEIglGYhMUWv3nmaXMggx1YRrRQpYvCtAT2OViKXmawhSlUqvR29AUm52JpdwIK6PPs3lBELgVHUUtTy+9tOHOuw9QqjWMbWDYEHBxxCVOPXrJ+JZ1Gd6kZrFB/VVMErN2nKbpt2tZtP835FIJI8NrsWtCd7aM6VLkY/+Iv6uK8RMEwUMQhIr5f0P+zvP9ryE6IY09Z+7Rc8Y2hi/Yy7PIBL7uUIud3/citIjO0j8jITmTfSfu06xuEN7uxcsno2NScXMtfoiBiZmc3BIEdjdvezRqLfHRxbYYfAZbJytS/gKFUxykMilT1w/Gv6IX8wat5fGNV0Wu/2pwfarUK8PaeUeJzJczFqBMsBu9Btfn4pnHnD/x8OP/q1bxpWOHKhw8dJfr+c/v7GDJ2EGNefQ8hm37b+jWBXvRo3ko+879zqV7rxGLRczq3hQTIxlTtkSgUmtoXSmQFuUDWHnmGg/ex+Jla820Zg24+T6KX67dxkgqZVnzMLJVKsaeikArCEysUo9y9k6Mu3Sc6KwMAm2cmFapCRfj3rD2me4G9U2ZppS1dmfmgwO8y07W+c4HdMHT1Invn2whXqHLJMtYBtDVozP30u6zN+rAx89oJDGhp/dUZGI5W97OIV31eWMXQHnbLtRxmkR0zm0iosag1Py7Qzj+iFyN7nwzker3TC+AicSMXE3hrBzAUmpJhiqj8P9lOq48TVX485hIZHopGo0g6OXA43OycDDRw72np5GiyCXEpXBzkVKtZte9hzTw98XTRv/n23PjAZsv36V7jYr0qWPYYgQgPVvBrB2n6TR/KxF3ntGyShl2TejO1rFd6de0KmU8HL+Ij/9POk+VKjWvo5J48S6Bp5HxPH+XwIv3ibyOSuJdXCpxyRmkZOSQlZv3kU//t6HIU/HkbRxHLj1i4dZzdJi4gXYTNrBo23k0Wi1T+zbh0KIB9A2vhnERrot/hiAIjX/uMAAAIABJREFU/LRep2zo17lmidZ/eJ+CexHOjwUwMTUiJ6v4xiN3X9028v2r+P/H3nmHR1FwXfw32zfJZpNN7500CAkJJPTee5WugFiwgGLviEoRUREVFBRR6UjvvfdeQgtJSEhCEtJ7m++PhYRlNyQUX9SP8zx5xCm7M7O7d+6ce+65NWxpCAc3G5JiU+9rn9pCbaHi04WvYOtkzaRnf7pnh6pEIuH1KQMw16j4cvxCIzfJ/sObEhTixsyp60lNqboRPTuyJd5edkybvoGcW3LP9s0Dad88kF+X7Of8Zf0w5Bf7NaOOux2f/7qFzJwC7LQWfDiwHdEJqczacBBBEPioVxvsLS14e8lG8otL6F0viC5Bdfhu9wFOJ6Xgq7Phoxat2ZdwjTnHj6KUyvi+dQ8qRJGxO9dSXlHBIJ8GdHELZPqZXZy8eR25RMbUsKeQChLeOr6IovJS1DIlH9cdSblYwWfnfqtUfbRzaENru5asS17PwZuHKs/RSmHL014fUFiez/y7NO634a/tShunCaQVRbPh+usUlmU++Ad3Hygsz0BAes+MHUAltaDQRFYOoFVoKa4opvCuAqpKokAlUZBVYvy9sZApyS01LsZWFxYziwvRqYw57+g0PQViqiFpX+w1buYX8FSYaUo5Ni2DyWt30qyOJ293q95QDGDbycv0+fw3Vh86x9BWDdj06Wg+GtSeALcHH0D/WMrlMddvMuiD2joL65tx1EoZaqUCM5UctfL2nwK1Uo5KKUOlkKNUyFApZHp/d5kEmVRSWUgRbxVei4pLKSwuo6CohIycAtKz8kjPzic9M7+y4KJSyAgPcGNAuzAa1/PEzaF63/SasGrzKXYfusyLw1rgZG/av+JOpKfnkl9QjKfnveezAphbKMnPrzmwe9bRfzHjLqUQ1Tao5oO+Ba8gVw5tOk1xYQlK9b3Hgj0ItDYa3p0zmtc6Tebrsb/x0fwx1V5nKxsLxn7elwkv/Maf323hmfFVRlRSqYQ3J/TixcGz+GrCKiZ9P0xfUFfIePutrox5eT7ffb+F99/tAcDro9tyKjqRT79dz7yvhqNSyvlkdCeenrCAyb9tZfLL3WlT35deUcH8uuUIzYI8CfNxYVL/ToyYs5Sp63YxoU97JnRqy4nEZN5YtYEVo4bwVHA9dsfH8dWBvTR2c6eevQMTm7TntV3rmHnqAGPDmvJ5RBdOZyTx6v4VrOk4CmczKybW78urR//gy/Pr+bBeT1zN7HgjYCCfnpvH7JhVvOynH0Yy1GMw1wuTmBs7DyeVIx7mel7XWe3NYI83+S32cxbEf8lwz/crfdwrP0tNK9oJn7E9+WNWJzxPJ5dpaBW1c+J8UBSWZaCWWtc4Gs9MpqGg3HRgt5brn1wzS7JQq6tqU4IgoFNYklFiIptXmJFbakzRyCRSSiuM6cj80hJsVMYZ+9VM/ROTt7VxkrX5whU0SiVNvY25dVEU+WLNThQyGZ/161CtsKKiQuTrlbv5fcdxAlzt+X5MbwJcHzyY34nHEthd7LR8MaYbUql+uIYoilRU3BqRd0sNU1JaRnFJGUUlZRQWl1JYXEpRSSkFRaUUFJVQUFxKWlYeBUUlFBWXUnxr++IaWuwBzFRyVAo5OkszbKzM8XaxxdFGg4+rLb5udrjaax+JF/zeIzF8PWcbkWGeDOpRu1FiMVf1WUKtA3stOkrNNWocXXXEnL+/AqpPiDsVFSJXTl8jONK4I+9RwK++ByM/6sNPHy5l9Zwd9BxdvRQ0qm0wHfo1ZOlPO2nUOpCgBp6V65xddTz/Wke+/WItq5ccptdAvQunn68jw4Y0Yd78vTRvVocWzQPQmKv44OXOvPrJEn5asJdXR7TG182O5/s0YeaSPWw8EE3nJkG82bcVRy4n8MHvG1n67jAaersyskUEc3cdpXWgD60CvZnaoyPD/1jGlK27+bRLO75o256uC5J5bdM61gwcRh/fYHYnxvLNif00cfagoYMrMxr3ZsC2+bx3ZD0zm/ShhYM/I3ya82vMHhrZeNPRuR7N7erT17UlyxN3EWTpSRuHcGQSGS/7vcgn5yby3a0BHRYyvSTWVxNKH7cxLEv4jjVJP9PL5UWjm6SHRTO6us5gc9I7rEl4mS6uX6NT1n44xP2ioCwNM1ktvsdSDcklcSbX6RT6wJ5RkoGz2tDjxUapJb3YmF60VpiRVGD8VKKUSikywb0XlZWhNiFljM/OwtHcwqgpSRRFdsfE0tLX0+T0Nr1VeDxvdW1ZrZNsRYXI50u2sXzfGQa2CGV8nxb3bGq6XzyWwG5prqJdozp/y2vrbxAVeplkWTkVoohUIkEQBKQSAYVc9rdpR+/EiXMJfDR9DXW8HZg4vket3/PSpWQEAfx8q3d+vA2NpZr8vCLKyytqLLTWCXHlwqmEWh3DbdSN0gfzM/sv/W2BHaD3C+04tecicz5eRlAjH/zu0ZX7/PvdOX0whi/fWMQPa14zkEB27tWAA7su8svMrUQ2q4OTqz4oDB7UmP0HrvD1t5uoW9cNnbU5Deq507tTKEvXHaNV4zqEBLgwpFM4e07E8OXvO2gQ4IaDTsNnwzox8tslfL1yD+8/1ZaX2zVmz8U4PvprC6vGDSfSw41RUeHMOXiM1n7etPbzZmr7TgxbsYxJe3fxaet2TGzSnqOp1xm3cy0beo+gvo0L40NaMeXUdhZfPclAnzDG1GnLsZtxTDyzimArF1zNdDzr3Z1LuQl8fXEJXubOeFk4oZVredl3DF9ET+GHK7MZ7z+u0vo2zLo1acVJ7EpdjpXcjtYO/Y2un706mG5uM1mfMI51Ca/SzvlznMxCH/Enqkde2Q2sFJ41bmcm05Jfbpx5A9gq9TWp9GLj+oGDyprTWTEm9tFwKtP4u24hV5JXavyEW1EN956an4e9hXEvSXxmFmn5BTRyN91oP2fnEXTmap6KDDG5XhRFJi3dzvJ9ZxjZviGvdG9aK0ag7D7ED4+FY/87IZEIt6gbORpzFVoLNRZmSszVClRK+d8e1EVRZN32M7z5+XKc7S2Z9kFfzO6Dxoi+kIy7m809vdhvQ2OpRhRr5wPjX9+d1OuZZKSa/gGZgtZGg3ddV45tP1frfR4EgiAwfuYzaG01THl+DiXF1Us4zSxUjJ/6FCkJGfz53Raj13n13W5IZRK+nbS2UiUjk0l55+1uFBSUMOO7zZXbvzi0BY52lnwxcyPFxaVIJRI+erYjZeXlfPHrFkRRJMzHhWGtw1m69zT7o+NRyGRMHtCJ7MIiPl25DVEUGdeyCf72try/bgsZBYU0dfNgVFg4f5w5xY64q2gUSma06k5yfi4f7Ne//7P+UTRz8GLiic3E5KQjl0iZFNYfAYG3ji+htKIMmUTK+0HDMZMpmXh+HoW3piz5WHjztOcwzuWcZ0nCMoNr0M5hEKFWLdl6YyEnMneYvIZWCg+6uX2PSqplQ+JrXMnZbHK7h4EoiuSV3sBCVjO1YCHTUlieR5mJZiNrhTVSQUpacZrROgeVjvTiLMruoldslRZkluRTcld2bilXkWsisOstwo2P62ZBAbZqY+795HV9bSbczbioGp+exZ5LcQxuHFqt5/r87cdYuvc0z7SLqFVQv56WzYez1vPa1yvvud2d+M8F9seJ9Mw83p60gknfbyLAx5EZE56qUbN+J8rLKzh7NpF69WqnuNHeGoSdXQtJYnCE3l3x9OGrtT4egKZdG3D24BVSE40zpkcJS50F474eRuKVG6yave2e29Zt6EWnAY1Y+dteI5WMnYMlI19qx4nDV9m+oUol4+lhy/ChTdm95yIHDupVMmZqBW+/2JHE5EzmLNoHgJuDNS/1b86BM3Gs23cegDFdm+Bpb83EhVvIKyzG38mOl9s1ZvPZy2w4fQmFTMaXPfTB/pMN+mD/RuNm+NvY8s7WzWQUFtDA3pmxYU1YFRPN6phoJILAl5HdUUvlvHZgJcXlZbiYWTOhfm/OZ1/n2wv6m5aNUss7gcNILEjju0vLK8+nhV0z2ju0ZWPKZoNiqkSQ0Nt1DN4W9ViR+COxeaZvypYKZ3q4z8ZBXY+dKRM5lfHHQ1t53ImC8puUiUVYKmq2j9LI9E9WeWXGtIpUkGKrsOFGsXER31ltQwUiKUWG303nW86OKUWGii4bpRk3i4yLywqJtNLf/U7kl5ZirjBOyi6n3UQukeBlY8y9rz91AUGA3hGmx9jFJN9k5tr9tAnxZWyPe9t75+YXMX3BTvq/8ys7j18h0Kvmp/jbeBLYHwFS0nKYu2gfQ179haNnrvHqiNbMmPAUOqvaT2oCuHzlBvkFxdQPqWVgv+Ulc9sM617wDXLGXKPi5P7L93VMbZ/Sj6vb+Pve+9rvQRDRti6RHUNY8NU6Mmt4shjxRmfMNSq+/3iFUUDq2jeCwHquzP56Ezl33PQG9I/E09OWb2dsrpSJRoR40KN9CIvXHqtUyfRvG0p9P2e+WbiT9Kx8VAoZnw7tyI2sPL5ZtUf//s0jCHFz5LNV20nPzSfAwY5XWjRm44XLrDt/EaVMxvQOnckqKuSD7VsRRZGX6jcmzM6Z9/dvJjk/F3u1hkmNunIu6wZfnd4JQBvHIAZ6RPJH7H72pF4CIMzajyEe7dly4wgbk6uC+EC3AdSx8GNu7DyuFyZVLpdJ5Az2eAudwpE/46dws9jw5ncbSqmGTi7T8NG040j6bPanTqfchH3ugyC7RE+FWNZiNuptG+Kc0gyT6x1UDtwoMlZ0uaj1naKJBYbZvLNaLz+8fhfPbqsyJ7Ok0KiAqpLJKCwzDuyFZaUmuffYm5m466wMrE1uY9OZS4R7uuCoNW6EEkWRzxdvw1wp5/2n7m1BEp+cwTOfLmDJlhN0aRrE8ikjGNOvWbXb343HEtiTU7MZ/9kyRr/zB4Nf+YX+L/5M79Gz6D7yB3qM+oHeo2fR74WfGPjyXEa+MZ8xHyxk/GfL+Hj6GqbN3sKsP3azYOVh1m0/w94jMZy9mERicib5BcWPNOu4FzKz89m69wKvT1xG/xd/Yt6yA4QGuTHvq+EM6Bb+QJTPwUNXEAQIr8G7/DZ0Nnr+L7MWBl9SmZTw5nU4vPNCjXNS74Sjuy2RHUNYN2/XA3m63y9GT+hPSXEpf0y991ABS2tzRrzRmbNHY42MwiQSgbHvdSMvt4g5d9A1crmU18d1IjUth3m/7alc/tLwluiszPly9hbKyiuQSAQ+GNmBwuIypi/Q0xkhXk4Mbd2AZfvOcPjiNWRSCZ/360hhaSmfrdbLWUc3jqC+syOfbtpBWl4+gXb2jItqwsaYy6y5dAGZRMI3rbpSWlHBm7v1evf2Lv4M9mnA3EuH2HcjFoDXAjvip3Hg41N/kVGs/2yHenYk1MqP7y4vJzZPH8RlEhkv+b6ASqLiu8s/UFBWdRNTS80Z7vkeAL/FTiS/zHQ/glSioJXjh4RYDyY6eyXrEl4lvyy95g+qBmSV6M/FuhYcu1au59FzTOjwAZzVTiQXplQ2Z92Gu5k+g40vMLxxud2adXot3/D1nMz0ssuUAkMFjqVCRU6JMZ0pipjWvefm4WxpHLjTc/O5fOMmLfxN/34PXIjneMx1XuzSBBvL6pO+Y9EJjPpsIXkFxcx+bwAfjOyA/X16Wj2W4mlhUSnZOYVYWqhxstMil+sNv2QyaZVCpryCktIyCotKKSouJSe3iKQb2eTlF5ObX1TtSDiFXIqVpRlWWjOstWr9vy31/9Vq1GgslFiYqdCYKzFTK1AqZaiVchQKGQL6NnqAouIyCotKKCwqJSMrnxtpOdxIz+VaUgbRV1JISNJnA/a2Gp7p15guberWSs5YHURRZN++ywQFumBlVTsfCZ2t/sO+WUuDr8g2Qexef5pLpxMJCK291K3fSx14o/uXbF64nx6jWte8w0PA1deBLk+3YN283fR6vg1ufsbTbm6jQ7+GbFxyhDmT1xHVNgjzO2gvL18H+g1tzOLf9tGhexh1b51v3WBXuncNZfmKo7RrF4yfryPmZkrGjWzDB9NWs2zdcQb2iMDDSceoHlHM+msfnRrH0CLMhxe7NmbHmRg+XbSVpe8Ow9tex5i2UXyzaR+bzlyiY706TO7ekZ5z/uDjDdv4vl93RjdoyJaYGD7euZ3Gru54WlrzYWRr3tu3md/OH2dEcDjvhbbjYGo8bx1aw/pOo9Eq1EwK68/gvbP46NQKvms4FKkg4d3AobxwdBoTz//G9+Gvo5YqsVJY8ZLvC0y9+BU/XZ3Lq34vVVra6pSODPN8j1+ufsLvcV8wynsicokxtSAIEhrZvYiNqg57UqawMn4UHV2mYqsy7Y9SG6QVRaOUaDGT1ewOqpXrlTNZpaZvKM5qZ0rFUtKK03BQVdERGrkZOoUl8fmGgd1eqUEtVRCXb/h6zrfseq8XZONmUdVUZK1UVfrF3AlBMD1vNT2/AB9bYxrmWJxeddbQy/RTyo/rD+Cks6RPE9MukQC7T8Twzsw1uNpb8fVrvXCxv3dzV3V4LIHd292WOVOHPfD+oijqbw65hWTnFJKZU0BWTiGZ2QVkZReQlVNAZnYBGdkFxCdmkJ1bSOEDjIYzBTudBQG+jnRrW4/6ga4E+jrWqEipDaKjk4i5msrYV2s/pcZSq0aukJJey4Joo9aByORSdq8/dV+BPTjKl+AoXxZNX0/HwU3/Fk37nRjyRje2LDrA75PX8N7c56rdTiKR8NInvRjb5zuW/rTTQNsOMPjZlmzbcJrZ0zfx7bxnK5+inh3Vir37LvHNt5v57lu95r1llB+NG3gxd/E+2jT1x95Gw7AuEWw5fIGpv28jPMANc7WCjwa1Y/SMZfy04SBjezZnRPMINp+5zOerdxDp446PrY5xLZswdfse1kdfomuQP9M6dKLLgvl8sGMLs7r2ZLB/fTbHX2HykV20cvXCS6vjq6ge9Ns6jwnHNzM9qie+GgdeD+zI5HPrWBR3iEFeUeiUlrwbNIy3T/3I7CurGOc/ANB3pg50G8Cf1xayIWUTXZ2qroOHeQAD3MexIH4qKxN/pJ/bq9VSAD6atlgrvNh8/S3WJrxClN3L+Gu733cPR3lFCfF5e/GwuDeHfBsqqTlKiRlZJaab4dzU+kCZUJBoENgBvM2diclLMlgmCALeFnZczTV8PQ8LPfcen5tBlH2V8srOzJy0wrxKq+fbUEplFJugaPJLSkyOxruQlIZMIiHA2bhgfCExlTNxKbzVt1XlkJy7EZt0kw9nrcffw55vx/fB0vzB5iDAYwrsDwtBEDBTKzBTK2qdJRcV628EefnFlVl/QVEpRbeeCEpKyyor46IoolLKUavkqJRyrLVmONhaYm+rQan4ey7ZytXHMTNT0L6t6aKLKQiCgL2jltSU2gV2C0s1ES382b3+FKPe7lrrG5IgCIx4vzdvdP+S1T9vp/+rnWp9jA8CKztLer/QjoVfrWPg613wDq6ep/Wr60rLbvVZ+dteegxvhs6u6pFVpZIz4qW2fPnxSnZsPEPbLnr5mUaj4vnnWjN56jo2bzlDp44hCILAuFFtGfbaPGb8sp3P3uyJXCbl3WfaM/rzRfy0cj+vDWpFQz83ekUFM3/7MTpHBFDHxY5P+7bnqe8X8OX6XXzeryPPRDZgQ/QlJm7aQWNPd7ytdYxv3JRJe3ez6uIFegUEMqVZR9r/9Qvjd29gaddBhOiceSmoGTPO7aG9Sx06uwXylEck+9Iu8/WFTTS09cJX40CYtR8D3FqzOGE74Tp/mtvpbZXbO7TlUt5lliX8hY+5NwGWVdl2sDaKdg6D2HpjIQ4qNwOr37uhU3rT3X0Wu1I+Y2/ql1zL309Lx/fvaeR1NxILDlNSkYe3pm2tttc3Gzlws8R0LcDVzAUBgfiCa0ToDFvzfTUuLE24RElFmYEPjJ/Ggd2pFw22dVJbopBIuZpryOU7mWkoLi836kA1VyjILzW2JigqLTOpeLmaloG7jRUKE4F79aHzyGVSujQ0PY2suKSMd2auRa2UM/WVHg8V1OH/UfFUpZTjYGuJj4fexrVZQ186NA+kR/sQBnQLZ2jvSIb10f8N7xvFgG7hdG8XQvvmgUSEeODmbP23BfXYuDS27zhP1871ayVzvBMOTlakJNW+RbxNzwbcvJHDsT0Xa974DtRt7Eej9vVYOH096cl/f0t6nxfbIVfK2LxgX43bDhvbgdKScpb9vNNoXZtOIfgGODHvx+0G3vXt2tYlMMCZub/sriykujhaMbxvJDsPXubIqTgAQnyd6dUyhCVbTnAlQV+ke61XCyzNVHy2aBsVFSKBzvaMbBHBymPnORSTgEwiYVK3DuQWFTNp6y4ARoaG08DRiYm7t5NeUICjuYZPotpyLPU6887rawRjgppSz9qJD49uIK0wD0EQmBDSGwuZkvdPLqu0F3jaqzP+GnemX1xc6ScjCAKjvJ7BTmnHrJifyS01pOda2fejnrYJm1P+5Fz2wXteT3OZLZ1dphNl9yqJ+YdYde05UgtrJ3kVRZEzmYswk9riYlaz4d1t6JQOZFRT5FVIFLionYnLjzdaV0fjRrlYwdU8w+a7OpaOZJTkk1pUlfRIJRK8NDZcyTEstrpY6JPDxFzDOoRWqSSryJh7r073npyVg7O1afuEnadjaBrogZW5aZXcgk3HiE26ycfPdsTO+t5zGGqD/zeB/Z+Mn+fuRK1WMHhwzV4yd8PZVUdSomk1gSlEtQ3CysaCDYsO1bzxXXjhi6coLy/n67Hz76sA+yDQWJnTsF09dq88ajT79G44e9jSukcY6xceJDPdMKBJJAKjX21Pako2q5YcMlg+5sW23MzIY9HiqkA3qEdDXB2t+HrO9spB4S/2a4q5WsmXf2xHFEW05irG927B6bhk/tqvl1S+0CYKN52WCSu2UlxaRh17W0Y3bsiqM9HsvRqPVCJhUtuO5JeUMmGXXs7ZxzeYNm7eTD26m9jsDOQSKdOiepBfVsL7R9cjiiI6pQUf1uvJxZwUZl/eCYBcIuO9oGFUiBVMOv8H5bdUHmqpmjG+z5NXlsuPMT8ZFBsFQaCP2yu4mvmy5No3JBRcuuc1FQQJda3708XtW8oqClmd8AI7kidQUHZv2WtS4TFSCk9RXzf0vgZ82CpdyCi5YTDy7054m3txNT/WSBwRoNFTKtE5hkE/SKufhnQ+2zDgB1jZVw61vg1PSz2PHZdjKLe0NTMjvcBYSiyTSCgz8f2/mVdocpxdckYOSRk5NKpjmv5Mzczl1zWHaBXuS+OQ2gknasI/MrBXVIgUF5dSWFhCSUlZjT/sfzO2bT/HwYMxDBncBK1l7TXvt+HiriMvp4isjJoljwByhYyOAxpxeEc0SfH3p35w9rJn9IT+HNt+jiUzNt33sd4vmvcIJ+NGNpdPxtW47aAxbSgtKWPlPGNZZmhDLxo28WXRvL3k3dHMFRzkQutWgSxZdpi0WzcEpULGKyNacy0pg5WbTwH6+QEv9W/GiYvX2XxI/6TTtWEgDf3cmLFmL5l5hajkMj7s2Zb4m1n8svsoAC82a4SXzpqPN2yjqLQMPxsbXmoUybrLl9geexVBEJjUtCMKqZR39m6iQhTxtbTljZDWbEu6zOp4fZbc2jGQHq5h/HJlN6dvdVQ6q20ZW6c/53JiWZRQNT7P09yDoR5DOJdznjVJ6wyug0KiZKjnu2jk1vwZN5Xc0pqfvBzVIfTzWkCo7mni8nazPG44F7PXmrQALi7PZU/KVCxkjvhru9X42nfCTulCBeXcLE42ud7Hwpu8sjwj2aOdygo7pRXnsmMNlvtrHZEKEs5kJhosD7CyJ7kgh4ziqoDtYWmFAMRkG9607M0tuJGfZ3QzUcqkFJmYNZxbVIyl2viJ+9w1/TGHeJkWAizYeJzSsnLGPtXC5PoHwWMJ7OXlFRw6HMOCRQeYMnUtb769iJGj59Cr77d07PIl7TpOoXO3r+jaYzqduk6jfaeptOs4hR69v2bwsB8Z/fwvvPHWQj6ftJofZm1j0ZJDbN9xnrPnEklLz62cg/lPR2xcGt/M2ExwkAv9+9bOS+ZueNxyboyPNe7Mqw49hjVFIpWwfM6u+36/riNa0qpPI+Z/sZLju87f9/73g7AWej7yZC1oIxdPO5p1qsfaPw+Qn2scdJ4Z04a8nCKW/bHfYPmzI1tSXl5hIH9sEu5NeD13fl2yn5xbg7F7tKhLgIc93y3eTUFRCYIg8Hb/VuQXlTBzrZ4ualrHg0716vDzzsMkZGShlMmY0LktCVnZ/LBX/7TwfHgj/HQ2fLhjK3klJTiaa3i/UWsOpiSw8KL+RvKMX0PCbFz49MRm0ov0csc3g7rgoLbkg1PLKy1p2ziE08o+jN/jNnI5t6qFvqVdcxrbRLLi+iou5hpm5hYyK4Z6vE1ReR6Lrn1VbYZ8JxQSMyJsn6WX+1wsFS7suTGFBVd7sTtlMjG524jP28upjD/ZdP1N8stSaeP0CTLJfVKKKn02a8pXHsBP4wfAlTxjC4F6Wm/OZMcYBGC1VIG/paORtUA9a31wPZtRdQNRyeR4WlpzMdMw0XG11FJQWkpGoeH3SaNSkltsLP0tLS83ya/HpuifqH0cjS27C4tLWb37LG0i6txTAXPkVBzvTq5956n0k08+qfXGjwpvvTXxk+iLFhw/EU92TiEKuQxHBy1BgS6EhLgTHu5JowhvIiK8CK3vTv0QN4ICXXBz02FtbY5cLiO/oISEhAxOn07g0OEYdu+5yIaNp1m2/AgLFx9k27bzHD5ylegLySQnZ5GfX4xUKmCmVj6ygbEPgz17L/L+h8tQqxR88Vl/LB8gWwf93NPlfx7AL8CJgLo1N4MAqM2V3EzJZvPyo7Tp0QALbe3fWxAEwlsHcWDDKTYv2EfjzqFobR6eEzQFlbmSPauPUZhbROt+kTVu7+SuY/X8fVhamxsYhIFeGnotNp0dG0/TvV9DFLfqJRqNity8ItYPku0fAAAgAElEQVSuO0mLFgFYWZkhCAK+HnYsXXcMsUKkYX1PJIKAj6stCzcfRyIIRAS5o9OYkVtYzJI9p2hZ1xs7rQWh7s4sOniKq2kZdA0NwNVKS0JWNotPnKFTYB3sLMwJsrPj15PHKSoro6WHF8E29hy5cZ3ll8/S1zcYjVJFA1tX5l8+QkJ+Fl3cAlFKZfhrHPkjdj+FZaU0tdcHulArX7akHOVIRjSdHCORSqQIgkCwNogjGUc5nHGUFrbNkN/h9mght8JKYcf+9LUUlOfib3lvr/DbUMus8LfsirNZOBViGVdzd3A1dytXc7eRVHAUURSJsn8FD4vqB09UB5XUnN2pf6FTOuFjYeyxYiEzZ8uNraikasKsDb1tskvz2Zl6gjYO4ZU+7QAxuWnsunGB4d5NK039rJRqZkfvx1OjI/IOZcyBlAQuZKQyIrjqWmQUFLDm0gU6+fjhpKkqHq86ewGAnvUMR1z+sO0A4Z6uRPkaUi4rD5wjK7+Qke2Nk7fdJ2LYsD+aN4e2wdnOtBAkPTOPsR8voaKiglMHVyV/8sknP5nc8A48FlWMvb0l06cNwtfXAYuHrP4C5OcXk5qaw43UHG6kZpOcnEVychZJSVmcPHXNYHycUinDzVWHm5sN7u42uLvZ4O6mw9VVh/IRzUS9F8rLK5j7yy4WLTmEv78TH3/YC0eHB9e/62wtsNaZczna9CNsdRj0Uju2rTzOvK828M43Q+5rX7WFik/+eIlxnSbzXr+vmbJyPM5ej8Zu9G64+TkSW0tXSt9gV4IjPFm34CC9RzRHcldn4FPPNGX31nOs++sYA4ZXBZ8hgxqzbv0pfv9jHx++r5/D6udlT4cWQSxbf5y+XcJwsLUkxM+Z9o38+XPTMfq0CcHeWsNznSJZdySaL5fvYu7Y/jhoLRjTNoppG/aw68JVWgZ483bbFmy7dJUJm7bz2+C+hDu5MLBuCL+dOkGfgCCC7R34omkHOvz1C58e2s73bXria2nLS0HN+PrsLronXqSDqz8Nbb15yiOShXEH6eBUl1CdO5Zyc8YHDOS907OZG7uWF317A3q+/Xmf0Xx2fhLz4ubzos/zBglNqHVLUori2ZO2EnulG1G2hlLR6iAIEpzMQnEyC6Wx/VhySq5TLpaiVbjdl3LmbsglCuxV7iQVGGfkoLdK8LPw41Kuced0iFbvUHkq6zKuZlW6+QgbTxbEHeBsdiINdJ4AaORK/LX2HEs3pGhCbB3ZGHeJ7OKiyklKPjq9Vv1KZgZhdwzbcNBYkJBpbH+gkEopLTc26srIK8BWY7o35fC5eMxVCurXcTG5XhRFpvywiaKSMj4d353535jczAiPhYqxsjIjtL7HIwnqAObmSry87IiK9KFn9wa88FwbJnzch59nj2Td6tdZsvAlpk8bxGtjO9K9Wxg6nQUXLiQx//e9TPx8FaNf+JUu3b9iyLAfeee9JXz/41ZWrTnOseNxpNzIfiQcf2JiBnN/2cXgYT+yaMkhenQP49vpQx4qqIM+g/YLdObi+aSaN74Dto5aeo9ozq51pzh7NLbmHe6Ck6cdXywdR3FhCW92n0bs+cSad3oAOLjb3pdPTZeBUSRfu8m5o3FG63z9nWgQ6c2KhQcrC6MAWq0ZfXqFs3NXNHF31B1GD9QH/7mLq+ibMf2bUVEh8tMK/RQkSzMVL3VrwvGY62w9qQ86Q5qE4W2nY/LaXZSUlWNjbsZrrZpwMC6BDdF6auStJs2xVqn4aOc2KkQRT0trXgltwtrYi2xP0Ae35wMbE2TlwMfHNpJ7qzPy1YD2OKq1fHJ6RaXJVUNdAD1dmvFX4m5OZlYFPh8Lb/q49uJQxhF2pVVRTbfRwXEIAZoI1iXNJS7//mk1ucQMG5Uf9uqghwrqt+Gi9iGx8IpRh+ltBFj6k1yUTFaJoXrFzcwencKSk5mGk7gibLwQEDiUbuiPFGHnxvH0RIMCaH1b/TzR0+lVyhw3Sy1KqYxLNw0pGkeNBUk5ucbcu1xGoQnuPTu/CCsL00/Fxy4k0iDAtdoRm9v3X+TA8VheGNIcj1pMX7uNf2Tx9FFCEARsbTWE1vege7cwxrzQlslfDODP319k/Zrx/Dx7JB++35NhQ5sSEOBMRkYea9ed5NsZm3nz7UUMHvojnbtNY+jTs3jjrYVMnbaOOXN38deKo+zYGc3hI1c5fSaBS5dTuHLlBufOX+fEyXj27rvEwkUHmTx1Lc+9+CvDR/zEwsUH8fK04/OJ/Rj3asdKOuBhEVTfjWuxaQa+KLXBgOdbY+9sxYwPlhtIAWsLn3puTF31BgBvdp/G2YP350NTW9yPPUPjdsEoVXL2bDhtcn2fwY3JSM9jz1ZD+V6/vg1RKuUGChlHey29Ooaycec5riXpeVIXOy1929Rn7Z5zxCbpbzi9G9fFz9mWb1fvpaS0DIVMyltdW3LtZhYLDuhnug5qEEKAvR1Ttu2hsLQUrUrFO81aciIlmb+i9cfyfL1G+FrZ8NGBrRSWlSKXSPm8YRfSi/P56sxOAMxlSj6s14O4/HR+vrKz8lif9e6Os9qW6RcXV7pAAnR16kyQZQALri0yKjxKBCn93cdhrXBg8bXp5JfV3vnz74CHeQCF5XmkF5t+Qguy1FMf53IMb0KCIBBu7c+xzIuU33FTsJSrqWvlwv40w+9lpL0H+WUlnLmDZ69v54REEDh6oypBkUok+Nvacj7trkYnnRV5xSVkFBhy75ZqFdkFxvLIkjLT3HtRcSkJNzIJ8DRt7lVRITJv6QE8XXX07Rxmcpvq8J8P7PeCUinHx9ue1q0CeWZ4cz58vyc/zRrJutXjWbxgDF99OYjXx3Wif79G+NdxoqiolCNHY1m89BAzf9jKxM9X8c57Sxj3+p+8MGYez734K6+M/Z3xby7ko0/+4ue5Ozl2PA5LjYpnR7Vk4Z9jmPzFABpHPVpv83pheq7wzAljne+9oDZX8tKE3iTEpLLoh3s7KlYHz0AXvlr/FlpbDe/2/ZpVP29/pFLIovxiFKrad7qqzZVEtPBn76YzJo8jPMoHVw8bVi4+bLBcqzWja5f6bN12jpQ75rwO7d0IuUzKb0urAv7I7pGolXJ+XK4vmkolEl7r1YLE9GwW79HfUJr7e9Ksjiezth8iM78QqUTChx1bkZyTy0/7jwDQOyCIcCdnpuzbTU5xEQqplM+btCchN5uZJ/XvF6JzZphvBH9cOcbJm/qA18TOj24uofwas4eLOfrgpJIqGO8/kOSim/x6dX3lsUoECaO9RyEVpMyOmWOUDaukZjzl/jr5ZTksvfYNFeL9DTx/lPA010/3qu7pwd3MDY3MgrPZZ43WNdQFkFtWwMUcw+JrYztfzmVdJ7ukKum53XV625sHQKNQEqiz48gNw5tKXXsHzqamVk5XA/DS6TtYr940lBnrzNVk5BsnV+UVFZU2D3ciPiUTUQRvF9OZ+P5jMcQm3OTpfo3vu7v9/3Vgrw4SiYCdnSVhoR506xrK6FGt+PD9nsycMZyli15m0/o3WbHsVeb+NIrvvh3Gl1MGMnFCHyZ83JvJXwxg+rRB/DjzaVavGMfSRS8zbeogBg9sjJ3twz+umoJ/sAtm5koO77v/jLlRq0Da9g5n8aztnD5kmt+sCY7utkxf/xahzQP48d1FfPDUjEfWxHTu0GW8gkzzj9Uhsm0QmWm5xF4wbniRSAR69G/IxXPXuXLRsC7Rv28jBEHgrxVHK5fprMzp1bE+W/dGcz1Fz6taadQM7hTOzmNXiI7TZ8FNAj2I9Hfnly2HyS/Sq1be7NKc/OISZm3XK2IaurvSObAOcw8eIyUnF4kg8EnLNmQUFjLjkD6QRzm508c3mJ/OHCYuR38NX6vXEjuVBR8f21g5A/jNoM5o5Go+O7O6MliHWPnQ3bkpq67vMdB16xQ6hnsOJSb/KptSDD3sAVzMfOjm/CyX806y7cbi+7rWjxI6hSMWMivi8y+YXC8RJNTV1uV09lmjG1SELgAJEg7cNHwSa25XhwpE9t2RteuUZtS1dmR3iuH3PcrRjaM3rlN0h41AqIMjuSXFXMmoogPr2Ou9bS6lGlKEjloNyVnGvk3yarj31Ey94snRxnRc2HHgEpYWKlo3uX/Pnn9sYBdFkfy8Im4kZxFzKYWzJ69x7tQ1LpxN5HJ0EonxN8nJLnws0kaJRECrNcPLy47gIBfCG3jStEkdmjfzp1FDb0Lre+Dv74SFxaOpIdQEuVxKwya+HNpz6YHqAWM+6omThw2TX1vAzRumXQBrgtZGw6cLX+GVaUM4d+gKLzSfwOq5O+45NKMmJMWmEhedRGQH05NoqkN4M/10ruq6a9t0DkGhlLF+xTGD5fb2lrRuFci69afIy6t6pB7UoyESiYQFq45ULevYAEtzFbP/quqMfaV7UzLzCvl9u/51fR1s6R0RzKJDp7h2U39TeLNNMypEka926vcLtnfgqeB6zD99gphbweOdhi1RSKVMOKh/itLIlbwX1o6zmSksiNF3qWoVZrwR1JkzWYksja86rlHe3bBRapl2YaGBx3iUrhFhVqEsT/zLwOL3Nhrq2hNu3Zadqcu4kHPUaP3/AoIg4GEWQHx+dLXbhFmFkleWZyR71MjNCLHy5kD6GYPlwVYuWCvMjewFWjn5cuLmdTLv0LM3dfaguLyMY6lVWXu4sz6pOJpUtcxRY4GVWsX5G4YUjYvOkqSsnMqb722YKeUUlhj/DjJz9O9tbaKwWl5ewcHjsTQO966Wf78X/jGBPeV6JquWHObrz1YzbuRc+rSeQp/WUxje41vGDJnN+NG/8vqzvzJ2xFxeHv4zo/rNpH+7qXRtPJFBnb5i7Ig5fPHeMuZ+t5XNa05y4dx1Cmox6Pm/guZtg8jMyOf4ofsbpAH6qUQfzBxOUUExHz/3K4UPeN0EQaDrMy35YceHeAW68MPbCxnV6APW/7ab0pL74/BFUWT2+0tQquU071k7Od5t6OwtcfW2I7oaakpjqaZ5myB2bT5HyV3H1a9vQwoLS9i0uSpA2Oos6Nw6mA07zpKRpW8Es1ArGdY5gv2n4yqz9roejrQJ8eWPHcfJucW1vtKuMTKJhO+36outrlZanm4Uxuoz0ZxP0QeG8Y2boZLJmLxvNwAOZha8GtaE7QlX2Z2opwu6uQXR1MGL6Wd2VQ6L6OIcQqSNNzMvbiWjWL/MXKbitToDuFZwg8XXtlaegyAIjPAajkqq4uercym/i3IRBIHuLqNxUnnxV8JMk0Mv/hfwtAgiszSVzGoMwUKs6iIXZBzJOGa0rqltCPEFNwzcHiWChJb2/uxJvWQwUamNsy8VosiOpKqCa6SjG3KJhF2JVRSNp9YKe3NzDl6v0sMLgkCwoz1nkgxrFp621pSVV5CYYZgcWZopyck35t4LbyU9ZiaoxoTkTLJzC4mo92ADxx9rYM9Iz2P+7B28MOhHnu41gx++3MCB3ReRK2S07RLCc+M68PqHPfho6gAmzRzGFzOH8tk3g/lk2kDemtCb51/ryMBnmtGomR9qMyWXLyTz14IDfPXpKsY+M4ferSbzdM9vmfj2EhbP28vJI7EUFRqb+vwXENm8DlorMzasPF7zxibgWceRd78dSuzFFCaP+5OyWgwFrw4uPg5MXf0GXywbh42TNTPG/8Hw0HeY/cESLh43bgu/GwmXk/lkyPcc2nyap9/rhf19qAFuo049Ny6dqX7Ga8sOweTlFnHirolSdfwcCQp0ZtWaEwbHObB7BKVl5SzfcKJyWd+29bFQK/ltbRVf/2LXxuQVlTD/VtZuZ2nBkCahrDt1gYvJ+iay55s0RKtWMW2HvkvWxsyMMRGRbIu9yv4EPUf8TFADPDRWfHpoO6UV5QiCwEcNOlBQVsK0W4VUQRB4O7grheUlzLhQNd6uoU0grezDWBi/lYSCqgCplWsZ5jGU2Pw41idvNLomcomC/u5jKa4oZGXirP/ZbIM7cVvDHpNnuvitlqqpp63LkYyjRnRMc7sQBAR2pp4wWN7OKZj8smIOpldl+SE6ZxzVGjZfr8rkLRRKGjm6VaqSQH+NG7u6cyAhweB6hLo4cSktnbziqnji53CLokkxVNHYWpqTlmPcGX779UyJAy7H6j83v/uYmnQnHouOXRRFFv+2l4W/7KG4qJTg+u48N64DUS38cXEz9jm+H5SXVZCSlEn81TTirqZy9fINrkQns3e7/vFOIhXw9Xeibqg7IQ08CQn3wPx/RJn8nVAoZHToHsryBQe4npDxQNexYcsAXvq4F9999BdTXl/A29MHI5M/2OR0QRBo0CqIsJaBHNt+jvW/7WbN3B2smLUVjbU59ZrUwSPAGQ9/J2QKGXlZBeRm5nNm/yUObzmDQiXnhc+foudzbR7o/b0Dndi+6ji5WQVoTPjbN4j0wcxcwcE9l4hsZjhYvXu3MKZ8uY5z565T91bTl7uLjmYRvqzafIrhfaNQKmRYqJX0a1uf39Yd5lpKJu6O1vg529I+zI+Fu04yvE04lmYqRrVsyJJDZ/hh20G+HdodS5WKF5o2YvLW3RyMSyDK040RoQ3448xJJu/bzcqnhqCUyvggsjWjt65g0cXTDAsMw9fSlqf9GvLLpUMM8w0nyNoRb409Q7ya8NvVvfRxjyDEWj99a4xvb47cjGbm5eVMDnmhUsMeadOQwxlHWHV9NY10EUY2uA4qd9o7DmFD8jwOZ2wm0qbjA13/B4W90g2NTMel3ONE6NqZ3KaRTSOOZ53kYu4lAi2r3BJtlFrqW/myPfU4wz07VZ2zrTeWcjWbks/QwkHPVwuCQHuXOiyNPUV+aQnmcn3W3M7NhwmHthOXk4mnpb5I2szdg1UXozmflkqwvf56hbu5UCGKnEhMormPJwC+DjZIJQLRSWm0r+tXeVwOVhoy8wopLC5FfUevzO2Aboo+TUjORBDAw+XB4uFjydjjY9L4ZeY26od7MmfpS0z76Rn6Dmn80EEdQCqT4OJuQ5NWAQwe2YIPJvVn3spXWbrlTT77ZjADhjdFqZSzZtkRPnljEf3aTmXsiDnM+3E7Z09eo7yaAR7/BvQZ3BiZTMrCX4w1y7VFl0FRPPdeN/ZuPMPnr/z+QDLIOyEIAhFt6/LR/DEsuvAVr3/3DJEdQ7h2MYnFX69n8nNz+OyZWXwzbj5zJyzn0sk4hr3dg/knJtHr+bYP3CXscOsHkZZsmlKQy6WENvTm2IErRplpi+b+qFRytmy7SxLZtQFZOYVs3VvFAQ9oF4ZMKmXh5qonpdEdI8kvKmHBTn3mqFWrGN40jK3nrhCdpM/EhoTXx0Fjwdc79yGKIkqZjNejmnI29QbrL+uzyPbuvkQ5uvH18X3klujpsZeDm2GlUPP5ya2Vx/2cXyvslBomn1tbKfezVmgY7tWJ45mX2HsX7zzUYxBSQcbv8QtMZuVNbLvhpwljfdIvpBTG3eMqP3oIgkCAZQSXc09SWmH66bqBVShqqZp96fuN1rV3jCCpMJ1zOVV0ilwio71TMNtToiksq3rNLm5BFJWXsT25qrDawUMfkDfGVVkxtPDwBGBHXNVrNnB1Ri6RcDC+6qlQrZDj62DLmUTDor27nd4qICHd8LtofstX5nax/U5kZOaj1aiRP2Bi9VgCu1wh5YvvhjJh+iBc3O//MftBYGllRsOmfowY05ZpPz3DXzveYeqspxn4jH4YwOLf9jJ+9K881WkaUz78iz3bzlNY8O+ibXS2FnTrG8G29ae4fOH+OlHvRO8RLRjzcS8ObjvP+8/8TE4tZqrWBhZaMzoMasIbM0cw5+BEVl6byQ+7PuKHnR8y/+QkVsTNYOH5aQx5sxtWdqbtT2sLnb1eaZBxj+lSDSK9uZGcTVKCoWxNrVbQtIkfu3ZFU1ZWRUk1qOuGp6tNpTkYgK2VOZ2bBLJ2z1my8vS65joudrSq583CXScredShTcPQqJSVChmlTMZLzSI5cT2Z3TFxAPT0DyTA1o6vDuyjrKICQRD4ILI1N4sKmHVaT/dYKlS8Wrc5B1Pj2ZGs54fNZUpeC+zI+ewk1iRW0RA9nJvhZe7Ej1dWGGjbrRXW9HXtxZnssxzNNOaqJYKEfm6voJKaszRhRq38ZB4lgrSNKKko4kruSZPrlVIl4dZhHM08Tsldwb+5bX1UEgVbUwwLwF2c61NYXsK2lCopZYSdGw5qC9bGV93AXTVa6tk6sD62iqKxMzOnvoMjW2OrKBozhZz6Lk7su2oorwxxc+T0tWSDAqqHwy15ZIrh98zylkV3Tp4x/56dW4hW82A2I/CYAruLuw3hUT6P460roVDIqB/uydMvtuGbX0axdMtbvD+pH5HN6nD0wBU+e2cpAzp8ycfjF7Fl7UkDV8B/MgaPaoGllRkzJq19qI7Z7kOb8PbXg7l4OoHX+s8k/rLxMOGHhUIlxzvYFe+6bti72qC2UD0yHx/prYaQintcg3qhej3z+dPGXHzLFgHk5BZx6rRh0axb23pEX04hNqGKRx3YPozi0nJW767SVz/dNoLsgiJWH9IHEku1isGNQ9l67gpXbujVL33qB+OiteS7PQcRRRGpRML4qKbEZ2dVNi3Vs3Wku1cAv5w7Slqh/gY7yKcBnhY6ppzaXtk92dk5hBArN76/uI2CMn0Ql0mkvOLXl7TiLBZfM+xTaOvQBg8zd/6IX2AwK/U2LGRW9HB5jpSiOPalra72Gv4d8LEIwUxqyams3dVu09S2CYXlhRzPNOTT1TIlze1C2JF6gqLyqqDfQOeBm5mOFQlVNzKJINDNPZidyTEGbo/dvQM5lZ5SKTcF6ODjy+kbKSTlVjVxtfDx5PyNVNLyqhKfCC9X8opLKuspoDf/kkklXEw0LAjf9l2/kWmcfJRXiA+khqk8twfeExAEYaIgCKcFQTgpCMJmQRCca97rnwkLjYoW7YJ585NeLNr4BlNnPU2XXg24ciGZaRNWMbDjNCa+vYT9Oy8YtKP/06CxVPP8ax25dD6JRb8+OCUD0KpbKJN/f47C/GLG9fuOLcuPPpaC2oNArIUM1t3bDnMLJdFnje0QGkZ4oVLJ2bPXUCbXsWUgUqmEjTurMj9fNzvCA1xZvu1UZaYW6u1MXQ9H/th5vFKSO6xpGGq5jLm79PJEhVTKC00bcTophT1X9QqeNl7e1Hdw5LvDBym5pX0eH96M4vIyvr/VtCSXSHm7fhuu5KSzNFaf1QqCwPigTqQV5zL/apUEs56VD23sG7Dk2nZSCqsyRqkgZYTn02SX5vDXddOugcHaKIIto9h2Y0m1KpW/A1JBRohVU6JzjlBQZvqJK0Djj41Cx+40Y5vmjo6RFJQXsSet6slKEAR6ujXgWEYc8XcMue7jWY8ysYI1d2Tt3b30vP2qmKrPuKPPLYrmShVt09JX752+80oVRXN73umhmKqEQC6T4utky/lrhsmRg07/VJmSbnyOD/s7e9iM/UtRFENEUQwF1gIfPeTr/SMglUmoH+7Ji2905o+14/j211F06xfBuZPXmPDmYoZ0mc6s6RuJuWR64svjRuuOdWnbOYT5s3eyZ9vDWesGNfBkxoqx1KnnyvR3ljDltQXkZt+fdcHjwG1u3daxei8eiUTA09eBuBhjy2OlUk54A08OH7lq8COz1prTMMSDbfsuGCzv2yaU5Js5HD6rD9CCIDCkVRgJaVnsj47T72uupm/Duqw/dZGUbP2PuXdIEI4aC2bvP1y537jIJlzPzWHFBf1n56XV0c+vLgsuniQ5X79fe5c6hNm48N25PRSV6eme+tbutHUMYv7VfWQU51Ue27Pe3REECb/GGvqze1l40sq+Jdtu7DCpbQfo6jwSiSD5n6tkGuraUyaWcjxzu8n1EkFCS7sWnMs5b2SVUM/KGxe1HWuTDDn4nq4NkAoSVt6RtQdYOVDX2pElV09Wnp+zhSVRTm78deVc5TJvax3BdvasuVTVPBVgb4ur1pItF6skkw5aC3zsdey9FGfw3vW9nDgTn0LZHU+QVho1luZK4lOMB+WYqRUUPMSc5ocK7KIo3mkuYY7pod7/agiCQEBdV154vRN/rnudid8MJiTck7XLjvLy8J9qPeDifwlBEBj3fneCQtzYuv70Q/8gbR21fPHbczz9eif2bDzD5mVHat7pHwA3H3scXO9dkA8OccOyGtviyEY+aLVm5N+l62/bLACNhYqMO7x5WjbwwcVOS0pGVfbVLtQPNzsrEm9W6ZqHN2uA1kxFzA39j1khlTIqKpycomJybo1ha+HhSZijE7GZVT/4V0KbYCFXcv6mPnMWBIE3Q1ojinA1tyoDfdm/HQqJjEu5VcHOTmVFX9eWJBamUVJuGCz6uPRCI7cgNs+0EZxWYUtHx2GkFyeSU1b7SV0PC0e1Jz4WIWSXVj8MpqVdc6zkWpKLDBMsiSChm3MTSivKKCirolDtVBpaOwSQWWz4m33KOwyJIJBdUrVtf796qGVy0ouqPuMe/gFIBIHCUv01FASBToF+lFdUGFgOtA70QSKRGPzuIvxc8bC35mZu1esJgkBEoLuBUuY23J11uDpV789eE4SH/dELgvA5MBzIBlqLomhy4oMgCM8Bt0fO1wWMDR/+O7AF7m880b8L/+Xz+y+fGzw5v387/EVRrNGbpMbALgjCVsDRxKr3RVFcdcd27wIqURQ/rvFNBeGoKIq1n3T7L8OT8/v34r98bvDk/P7tqO351digJIqi6S4BYywA1gE1BvYneIIneIIn+PvwsKoYvzv+twdg2pbtCZ7gCZ7gCf5neFhLgcmCIPgDFUA88EIt96txZt+/HE/O79+L//K5wZPz+7ejVuf30MXTJ3iCJ3iCJ/hn4R9j2/sET/AET/AEjwZPAvsTPMETPMF/DI8tsP+X7AjuhiAIXwqCcOHW+a0QBOHBOw3+gRAEob8gCOcEQagQBOE/Iy0TBKGTIAgXBUG4IgjCO4/7eB4lBEH4RRCEVAVwS3gAAAL6SURBVEEQ/pP9I4IguAmCsEMQhOhb382xj/uYHhUEQVAJgnBYEIRTt85tQo37PC6OXRAEy9udq4IgvAoEiaJY2+LrPxqCIHQAtouiWCYIwhQAURTffsyH9cggCEIg+oL5bOANURQfzyy1RwhBEKTAJaA9kAgcAQaJovhwngz/EAiC0ALIA+aLolj3cR/Po4YgCE6AkyiKxwVB0ADHgF7/hc9P0DvjmYuimCcIghzYC4wVRfFgdfs8toz9v2xHIIriZlGs9Do9CLg+zuN51BBFMVoURdMDRf+9aARcEUXxqiiKJcAioOdjPqZHBlEUdwP/O0+A/zFEUUwWRfH4rX/nAtHA/U1B/4dC1OO2+Y/81t894+Vj5dgFQfhcEIQEYAj/EQMxExgJbHjcB/EENcIFuNO/N5H/SGD4/wZBEDyBMODQ4z2SRwdBEKSCIJwEUoEtovh/7d0xSxxRFMXx/zFgEGy30yJF2pSpUghJIRKUdOnyBSzsAtkiINiKkNqAhQiBTZnKQkiTMmAgTcpY2PkBEo7F7ILKMhvDzI77PD/YYmEX7mWWC/vmzXmu7a3VwS7pWNKPMa8NANt928vAIbDZZi1Nm9Tb8DN94A9VfzPlX/orzLgg+GL+Rd4XkhaBAbB1Y1Vgptn+O0zRXQKeSqpdTmv1zNOS4wgm9SbpDfASeO4ZfFjgFteuFL+B5Svvl4DxWbZxJw3XnwfAoe3PXdfTBtsXkk6AVWqCFLvcFVNsHIGkVeAtsG777oeXB1Q3Sx9LeiRpHngNTPfooPhvwxuM+8BP27td19MkSb3RzjpJC8ALJszLLnfFDIBrcQS2zzoppmGSfgEPgVFQ9rdSdvwASHoFfAB6wAXw3fZ0j7NvgaQ1YA94AHy0vdNxSY2RdASsUMXangPvbe93WlSDJD0DvgKnVDMF4J3tL91V1QxJT4ADqt/lHPDJ9nbtd2ZwlSAiImrkydOIiMJksEdEFCaDPSKiMBnsERGFyWCPiChMBntERGEy2CMiCnMJMcGXkjmliMEAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Génération de la fonction sur un espace 2D.\n", + "x = np.linspace(-3, 3, 100)\n", + "y = np.linspace(-3, 3, 100)\n", + "x, y = np.meshgrid(x, y)\n", + "\n", + "# Visualisation de la fonction\n", + "plt.contour(x, y, f(np.array([x, y])), 20)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "le minimum est aux coordonées [-0.78539917 -2.35619341]\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Placement d'un point x0 initial aux coordonées (0,0)\n", + "x0 = np.zeros((2, 1))\n", + "\n", + "# Minimisation de la fonction\n", + "result = optimize.minimize(f, x0=x0).x\n", + "print('le minimum est aux coordonées', result) # imprimer le résultat\n", + "\n", + "# Visualisation du résultat\n", + "plt.contour(x, y, f(np.array([x, y])), 20) # fonction 2D\n", + "plt.scatter(x0[0], x0[1], marker='+', c='r', s=100, label='initial') # Point de départ\n", + "plt.scatter(result[0], result[1], c='g', s=100, label='final') # Point final\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 3) Traitement du signal\n", + "\n", + "Le module **scipy.signal** contient beaucoup de fonctions de convolution et de filtres pour faire du traitement du signal. La fonction **signal.detrend** est parfaite pour éliminer une tendance linéaire dans un signal. Utile pour beaucoup d'applications !\n", + "\n", + "Le module **scipy.fftpack** contient des fonctions tres puissantes et simples d'utilisation pour effectuer des transformations de Fourier" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Création d'un Dataset avec une tendance linéaire\n", + "x = np.linspace(0, 20, 100)\n", + "y = x + 4*np.sin(x) +np.random.randn(x.shape[0])\n", + "plt.plot(x, y)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "from scipy import signal" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Élimination de la tendance linéaire\n", + "new_y = signal.detrend(y)\n", + "\n", + "# Visualisation des résultats\n", + "plt.plot(x, y, label='originel')\n", + "plt.plot(x, new_y, label='detrend')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Transformation de Fourier (FFT)\n", + "La transformation de Fourier est une technique mathématique puissante et normalement complexe a mettre en oeuvre. Heureusement **scipy.fftpack** rend cette technique tres simple a implémenter\n", + "\n", + "La transformation de Fourier permet d'analyser les **fréquences** qui composent un signal **périodique** (qui se répete avec le temps). Cette opération produit un graphique que l'on appelle **Spectre**.\n", + "\n", + "Une fois le **Spectre** généré, il est possible de filtrer les bruits indésirables, ou bien de sélectionner seulement certaines fréquences, ou d'en atténuer d'autres... les possibilités sont infinies.\n", + "\n", + "Dans l'exemple ci-dessous, nous voyons comment filtrer un signal noyé dans du bruit." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Création d'un signal périodique noyé dans du bruit.\n", + "x = np.linspace(0, 30, 1000)\n", + "y = 3*np.sin(x) + 2*np.sin(5*x) + np.sin(10*x) + np.random.random(x.shape[0])*10\n", + "plt.plot(x, y)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "from scipy import fftpack" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# création des variables Fourier et Fréquences, qui permettent de construire le spectre du signal.\n", + "fourier = fftpack.fft(y)\n", + "power = np.abs(fourier) # la variable power est créée pour éiminer les amplitudes négatives\n", + "frequences = fftpack.fftfreq(y.size)\n", + "plt.plot(np.abs(frequences), power)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# filtre du spectre avec du boolean indexing de Numpy\n", + "fourier[power<400] = 0\n", + "\n", + "# Visualisation du spetre propre\n", + "plt.plot(np.abs(frequences), np.abs(fourier))" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ + "# Transformation de Fourier Inverse: genere un nouveau signal temporel depuis le spectre filtré\n", + "filtered_signal = fftpack.ifft(fourier)" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\User\\Anaconda3\\lib\\site-packages\\numpy\\core\\numeric.py:538: ComplexWarning: Casting complex values to real discards the imaginary part\n", + " return array(a, dtype, copy=False, order=order)\n" + ] + }, + { + "data": { + "image/png": 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EtSFRc+RqnwazCoRabrtsODPMWoENZ4ZhmFVisdaAZG/jhiRkOPM9wDBrBjacGYZhVonFqoPBor3ap8GsAlqqAQK33GaYNQQbzgzDMKvEUtXB6ACnmmxEigXL8ziz4cwwawk2nBmGYVaJxaqDsUE2nDciRUsEUg02nDck3/vlMRxfqK72aTAdwoYzwzDMKlFpuBhiqcaGpGBbcLwGKEKs9tkwq8F8pYFy3V3t02A6hA1nhmGYVcJxJQo2W00bkaJt4eGDMzg2X4HFlvOGhIBQcvDsch3f/eWx1TshJhVsODMMw6wSdVeiaPMwvBEZKFh47PAsTi7X2eO8USGEukZWGi6ml2qreEJMGnjEZhiGWSUcl9hw3qAULIHJuSpcl9jjvEEhhEsRSiKw3L3/4RGbYRhmlXCkRJGlGhuSYsFCpeHCkQSLb4ENCREgjf5HUnobmb6GDWeGYZhVou4SCuxx3pAUPWtZVdRgy3kjEtU4s8d5bcAjdp/w419NrfYpMAyzwjiuRClnw5mTjfoUIVCwBHucNzBEccOZ2OPc97Dh3Cc8/NzMap8CwzArTMOVKORsNf3yyHyux2e657SxAbhSssZ5g0II1/Bmj/PagA3nPoAonCDAMMzGoOESioV8h2GeiPsTAeCtO05XHmeeiTckcY+zkm8w/Q0/rn0ARUrS5MW+52ewVHNy/xyGYdLR8MrR5fn8S16U9y1vPu9FcCVBsMZ5Q6I0zsCTXlSIpRprAzac+wACYi1XDxxbyPxz9k8uYqnKhjPD9AuSVJJYnsatJKWlPsGtffsOIZTGmZUaGxSv3brOQ5CSi2qsBdhw7gOSdE3fenwy88+JZvAyq8/0Uo0L3m9wLEvkKqeQRJgp13EfJwn2HbYluI7zBkbPyXpeNn9m+hc2nPuAqM4JABpmcccMP4gfyf7imWOLODC5uNqnwawSAoAQ+S5opSec5Pm4vyAAlgB7nDcwuo6z6033kufoNQEbzn1ANLMWAFw3+8eHsDJaaiY9BKDuuqt9GswqYov8pRr82PcnQgiuqrGB0YUByPc4c1R4LcCGcx9AhFhVDSeHmY7Y69R3EAF1h1Cps/G8UbGEiC2cs0R5sTjpqN8QYI/zRkdLNfTzr5IDV/ecmPaw4dwnRCe1hpuDVAPKu830DwTCXLmO235ycLVPhUlASspdg74SGmcuc9Wf2JbgqhobGF1RyyXC8YUqFqsOL3DXAGw49wFE8aoaeXigiIur9x1EwFKNB8t+ZbHm4M69E7l+hiXiC+cs0SWu+BbrPyzBnQM3MrocHRGw99AsDk4t8XO6Biis9gkwOlQT3tbIS+PMT2VfQQAWqw7sFZw5iQiCY8OpkJJQd/KJ/mjyl2p4Mq3cPoHpFiGUkyT6OD59bBENV2LHmZtW58SYXDmxWMVCpaE0zpJ8rbMj2bm1FmCPcx9AWBmpBmuc+w8iwlLNWbEFzZNH5vHQsydX5LPWAy4Rak6++vO8pRra28xRjf7DtrTHOWw5z5XrmC3XV+msmLw5Nl/Fc1PLAIJKGlISGi6xnHINwIZzH5DUctvJoRxdkoHOrC4EYKnqrJiXoea4qDQ4ETEtK+NxzlmqITnS1I+ocnSqqoYQInQPSHZyrGuIgmusazc7kuC4kj3OawA2nPuApM6BTh5SDa4R2RX3PDaBmeWcvD8rrHEmyqdiy3pFeZxXQKqRt8YZbIj1I5ZQY33RDst1eKxe35D3f12KVicJNlxuHbgWYMO5D0hqgJKXccOep845sVDLtcrJ4gpKNbiWd2e4K+BxVnWc8zu+63m02BTrL1Q5OmUwFywrtHjKMjp4597DmRyHyQ6dqK/lkwQ157PGeW3AhnM/4HUPMslL45xHQ8L1Trnu5uYEIAKWqo0VGyylNzgz6ZASqOe0aNIIke9ihowJmumOf37khVyOq6tqRD3OWXaQOzxTzuhITFaYifra46yTA3mB2/+kNpyFELcJIU4IIZ40tv0PIcQBIcQvhBD3CCE2N3nvISHEE0KInwsh9mZx4usJmaBxzqUcHfih7IZqw83te5OeVGOlvMBcWaUzHClzTw60rbw7BxKH/ntgrlzHQ8/lk1Dre5xjUg1kVgaF18n9h69xhm5+Rr5Ug69X/9OJx/l2AG+LbPs+gB1E9GoAzwD4VIv3/xYRXUREuzo7xfVPUvg8H40ze526IV+PM3nJgSuncc6z9Nl6Q9LKlKPLtwEKWOPcAweOLeYWpbEseB5nK8HjnM1n8kK5Hwlqq+t/Hc9w5svV/6Q2nInoQQAzkW3fIyLH+/U/AJyV4bltGJKqajRyqqrBg2jnlOtubt46AjyNc3j7iYUqHjk4k/ie3j6PpRqd4Erknhyoa/nmhc7aZ59zdzx9bBGbh4qZH9esqhE1nLNc6PDj3n8E2mbVw0EnBzpcjm5NkKXG+f0AvtPkNQLwPSHEPiHEh1odRAjxISHEXiHE3qmpqQxPr39RBm14G3uc+4dqw82t6gURsJyQHDhfaWByvpLDB3JyYCe4Mv+qGrYVKUWW8fUJPFuZHnbDMF9pYMtwKZdja42zbr2tybLTI5cg7T+0E0sXBiAo51nD5Q6fa4FMDGchxH8D4AC4o8ku/5mIdgL4LwD+WAjxpmbHIqIvE9EuItq1bdu2LE6v76EEYyYPryCB2OPcBeW6k+NgFmRXm8iESivZfBqXo+uElZZqnFio4ksPPpvZsYmI6zj3CBFinf2yQEBJNVwt1TCralB2nR752vcf5kJWG9CuL9Xg69Xv9Gw4CyHeB+AqANdRkytOREe9f08AuAfAxb1+7npC13I0cXIrf8Z0SrmeX3JYszEyqQ17Vp/HE2l6XBl/NrNEhesDqcajL8xhrtzI7vheOJg7B3ZPnqFzSwi/jrMZZZQZXi9eJ/cfpOVT5NVxhhoDHMnJgWuBngxnIcTbAHwSwG4iSqx5I4QYEUKM6Z8BvAXAk0n7blR0KRqTXDzOPHl2RZ6d9ghA0RYoFcKPotalZv95lIsMaL3iEsGycnA3euhavvpaHzi2gKKd3edprSxLNbqHSF2nPDDrOMuQxzk7c50Xyv2H+VzqiKMjWaqxVuikHN0/AXgIwKuEEBNCiD8E8LcAxgB83ys19yVv3zOEEPd6b30RgD1CiMcBPALg20R0X6Z/xRonyaDNq+GGtsefmJjP5fjrkUrOdZxLtoWBiOGc1yKHPc6dISWhkKPhDIQNZ0lAwcou9cTvGsgpR72Rh1YDqvmN45WjM50lWbbc5se9N8p1p/1OKSEizJcbQSQIaowhrxydarnNF6zfKaTdkYjek7D51ib7HgXwO97PzwG4sKuz2yAkSzXyMJqC1ex3f3kMF5y1KfPPWI/UHJmb2UEgDJUKsCITs/ZEZP95rHHuBEcS7JyMJo2q46x+zvqTol4tpr8QFryqGiKS55LdxWJDrDdufuBZ/Ne3vCqTY9Ucia/+xyHsfNkW/5mUnqBdN0Bh+h/uHNgHKKlGeJsjKXOPo+lt5Ae0M/L0OI8PxtevkvLR1lJOx12vSEnI0AGciBD5GTfk14tln3Mv5CnVcDypRl4eZzace6OeccIeqRBQqJqGJLMBCl+vfocN5z5Ah2tC23IwcAiG4ZxzG+H1hBD5JVUSgLGEGrE6cSSPz3Ncwn1PTmZ+7PWIS6pUWJ5YIuptzA5dnYE9zv2JTgxNboDSOyoJLYMDbWB0xYusjuXZzUE0yEwOZI3zmoAN5z5AZ9iaSG/Aq9TdzMph6ZUuwB7ntBARLCFyMWL18ZM8ztrYyf4DgZrj4qnJxRwOvv5wJcVkNFljSjXygEirnJl+QY8n2uNcTGi5zRrn/kBVu8jIcPYr3AQJoKHkQMklY9cCbDj3AUkrWl3H96HnpvHLo9kk8hEC74OTQ2fC9YjjJYflOZRtGx2I5R4lLaaygECoNiTPpimRRBgoWLlGaHKVahgeZ77m3ZP1N0ekjGYdbbAtEaqslFWnR3VIvu69kKVsLkgKDOZisxxdw5F8tdYAbDj3AUmVDvTDKmV2w15Q05VLkqVFT3B5apz/+IrfiG2XGYYHo59XdfJrIb7ecCUwWLRRz9FwzlWqYXi4mP5BEsESSqohKd45EMjmmvF6qXeSysV2fSwg5HHW/hIi8pIDJXJWhjEZwIZzH5BUVUMb01lqXc2wECeIpUOSruObn2GTJAWQMh+tGxFQa3ACSlpcSRgo2Gg4+X1fSVKNzJ553+PMUo1+QhJgWQK2JSCEiBnOWT2fWbbu3qi4kuBm5GjS8oyoFE/nOTlu/tIwpnfYcF5FdPg3ySNkCfje5sxsXG2II7sV9EbAEvl5baRMPr6ZyJnp5xGh5uRXl3q9IYlQKli5Pi+WCD+PwyU7s26VysPFXudeydqUkUQQAspo9v6LaZwz+BxWt/eOzLBMnFLOUEiKp9U0SuMs2XBeA7DhvIrc8fALmF2uJxpJWvOWpcdAP6C69A3THqmTA3M6PgEQCdOyTg7N4/OqDdbRpcWRnsY5x5wAswEKAAyV7My6VWrPNZej6y/0uAKosb5gRz3O2UQdeMHUO1nK5lQkOb4o0g1QGg57nNcCbDivEnPlOhqubFojUrdiTdI/d4sp/2CJczqUxjnPOs6U2JQsy+sePS57nNMjpfI455lLG63aIpBhRQUYJbD4mvcNkuA31ilYwh/vNdnJ83i51CtSUnYLZy/PCMb4rp93R7LGea3AhvMqcduegyAC6o5UereI9WRZwq/BmaUB5XcrYo9zKgKNcz40uwr5RQUI1YbL02lKXEko2fl4nPWiSRlNwXYhRGbXRycEs8a5v5DGgtm2BQqWlUs5OvY4906mVTV0si7CEUWdgNhw868bz/QOG86rhO4W1HAlgLjXUese9eo0yld+crDjzwy6iHFyYFoInkcwL7OD0MLjDByeKWOh2sju48hrIc6XPxUuxZtTZIVeMFtWeHEssoxwkJnFn9ExNyBZf3UkA2dJwVL3gKmj1SXLMvksXjL1RNZSDT8KZBrOnlTDcSUESzX6HjacVwlXqgfSaVI9QYfuJCUnB84u1zv+TG2MSa/0DdMekiqkmptUA+QPlA88fcLfrq/R4xNzODpXyfDzoDzOfP1ToaUa+RjOuiRZVKqR3f2mvc1Z1QVmskFfe8DTOFtWaPEU7fT4wslyV59DKjuQ6YFsPc6B0WwmB2pnVkMSSzXWAGw4rxJ6Iqt7Bc/NVSaRCteQlyCSJNXo5jnWjymBpRppIS8akJ/GOcjYf+TgTGh7HtUQiLzkQL78qXApH8PZ9TqECSESpBrZeQl9bzPABlQPZG3LuIYErGBZsCMeZxlJCv/HR17o6nN4udQ7mVbVoCCWQJGFErAynUqZ3mHDeZXQiX8NV/oJaBpJ8MPDzcoSdaN7Zo9z50hSHqG8ph+1aFL/ma3VAy9hxoazr3Fm0iAloWSLzJ+Xm+7/td9cx45KNZBxciCC+rFM92QZpdGLJkCNL7ZlhZwZ0XG/XHe6+ny9AGe6J1Ophvc/s1qW8F7Rz2meOTVMNrDhvEqoroAqGYBAoZJkklSbZ61xzs7j7BljkjXOaSGi3DsH6tB8w3A76kVO1q23WePcGa4n1ci602al4frhehEpR6c8ztkgPQuMDajeKFgiM68joK6HWVXDFuHjK8Mq+N2VhJrTeYIqKzV6J1uPc9CMKJocSEQoWFYsutFwJWpONuUpmWxgw7kN9z4xmctxdZ3ehishZThBTBKhYCsPhJTJE15Xk6Afts3WGFvPSEpO3ssKLQUBEGrrrKtqZH2ZCKrxDvsf0+HkpHHW+QuWJ9UIe5xFZkaumcFPBDx5ZB77JxcyOfZGwrYF/uYHv+rpGCeXajg8o7TKUY2zbYfbrkcNXgK6aorDnQN7R0qCm1FVHb+qBoWjTNqQLtjxyebnh+fwH8/NxLYzqwcbzm3Ia5LRGsd6ghFDBBRt4RdKT3pmu5JqIDDY2eOcDkKgN8+aA8cWICX5Hoa60dZZS2r0QJsV5Ml0eDJNhyRCybYzl2o4vsZZeR5Dz3iGmvpgolajzGy5jrlydlVaNgoFS+DofLWnYxyereDpY4sAgooqgGc4RzzOMtIlg0jJNTqFPc69o5IDMzqYf1mDWV9LNHSkOYqSbPJV7CfYcG5DXgZ0uLr0AAAgAElEQVSm9EJxDS9sbiYH+lIN2bz+aqfPkWp6ETRUybOhw3pC61Cz9NDun1zA0bkKvvvkcRV+TfA4+zW8ZfblpGyRnUdzveNKNPU4//DA8a6P67jSL0kmIi23Mw1wUODN8uU/bEp1jG1ZPS84TNmVlEGkqWALv1Osvy+i14m69DizRKdXVPWrrDzORsJu9HqTym2Kfb7kJ7bfYMO5DXkl0bnew9DwtJPmZCkJQXkiSvYud2rP3/zAs37Ylii/v2u94RvOGX5dz59cxtRiDXVX6Vy1vr1u6Nh0dCCqhesVIqBgWzwQt2Fmue4bOsVIO2THlSjXHTx8sPvwqfY4W8JLPjVusCzvN+3N0vUVotUamHQUbYG5cuclQE3MZ1mPK4Ayym1LwA1JtcLOEeVx7kLnGnZcM12gpBrZSqf0+A4EycCEZKmG5LBB38GGcxvymmRUHWfyq2rENc4iqKyQaDh3dmLaUNeaaZZqpEMbN1l+Ww3Xk+k4Eq4MKqo0jAS0QOOcbZiOoKIZbDy15h8eOgTXmzCjHufHJ+Zx35PH4PaQMOh494BlaY1z8JoQ2XUL1ROyb4g1WYgzrbEtgblK7x5n/SyrcnRqe8HSHufIvqH3divVYMu5VzJNDjQ0zqGFEYLkwCh+IzSP56aWOvrMwzNlVBucXJglbDi3IS8DU4fitcZZ1Qr21E9SeQV1AlHSPNepMaU9TXoS5ckzHYR4g4pecaRqs67arQdlqcLl6HRYPdt5T3mcc+yEuE7Q4dGg5XbwfU0v1TBfafT0DTres63qOIfHmSyrapgTNRDkODCdUbAElqqdG64mWioD6AW5WY5OhBLQ4oYVodKtVIOf9Z6whOhpkWyir2m85bZaSJcKTaQaxr5f+9nhjj7zJ7+exvRSLXIefE/0AhvObcjLcDZbbqtawZb/cLiexlknhyWdQqenpbWN+pjscU6HlIFnKCsajjKH6y6FkwNjGuccPM6eDIjHzda4xkJTV7jR+IZzD9+hK6VX6hCwrKTOgRl6nI17iRfN3WFHOvt1gxmerzsSJU/PWrCEl9Ni7hv2MnYj1ZBeCTu+3L1hefrzE4u9JYcChgSP4sarGpubJQcGvy/XHTgdZCsS4s63W358sIOzZqKw4dyGvFZmfgMUR3ohmiA5JEgODHuHH3thFj/59bS/TyeYDytX1egMlRyYHQ3D4+ySUY7OidZxzr5zoNbsJiWhMAFmEl204sH0Yu+VKbTHOShHF7yWrcc5/F8z6RfTGuXI6O0YZIzlJ5fqOHVsAIDyOKvukc01zkKgY4/zMycW8f39x9lw7hGdqP/Vh57v+Vh+N1iEn3F9bxQSxmU3ItuRBCx3cC8kzSFzlTqPAz3As2cb2iXRVRsufvTMFAD1UMynnFC1hnWh6mC+0vBCdYHhXLR1cmDw0JTrLg5OL3v7dPZ3aI8ZkfqZvU7pIEpO1mr0UJ/IcdXgWfeiDTo5sBGr45yDVANqoi4mJKEwAWZ41Hw2AVWhZqHS6CkE7mucRdwwB7JbLAVt242FM1fU6ZhoAmc3mDWVTyxWsW1UGc6JHmcKP/eDRbtjjbPOZ2GpRm/YXvObRgZyDS2dIW/+97d7keVSwrgcjToSUUf3gky4B7J2yGw02HBuQzv7aL7SwNPHVK1nIuDWn6QLgbhSrS73Pj+LvYdmVS1XCoxb2xKegRt4vV1JODpX8Y7Qqcc5/C97nNMhSdVxjn7fN93/bNfHVPIcQt0rEYgEj7OONGReBYFUySP2OLdGPx8CShNuPi8F28JSzenpugR1nOPNL5TmPUOphiHRipQHZlJStEWoZGg3mNHDqcUatvkeZwuWFW6CIyOWzVDJRrnDBK+ovp3pjKePLWK+3PD1553II1pBkbkYCBY5iR5nGX5mpQSWa+kN5ySpBo8DvVFY7RPod2QbA3PZmEBlZBXZCleq1eXJpZpRRSM4TtG2PJ1l4B12JeGIZzh36jWSxrE4QSg9BC90nqHHOVxVg/zQfMzjTOHwbhbohi5JAzQTYDaJsYSI1XGtdtH+OHR8Kf1oRrSdsy5PlRXaeNL3EkebOse2LIwM2D0dw8xXWa67GBlQ02+SrjVaVWOgYKPW6Oye8+Ve3Z7wBuepyXk/cdNxs6ms4cs0vGuj5xb9r52kcSaCTeE+D0u1DhZRCc+8Xkzb2VaN3zDw7NmGdpPMci1cezdtfWTtbZorN9SDEZJqBJ0DdRMMQBnOC15JpE4nP1NXlbUxtp6RRKphSML2bnE8F0Ig1VALtNDATPDL4GVtRA0ULB4u26A9tQD8RF2NAFBruKHw6d//9FBHx4/WcTb1rVlq6gODOaiow9rGzilYAsMlZeg+9sJsdwdpMu7aieH5iMa5m4/T150vd1e4nhe4aKkKV1k0QfGjAJEnXD/zpYhD41u/OOp5l01ZR2ce5yTvMtsAvcGGcxvaGcLLdce/KbV+ONVxvf0Wqg24rqrf+PPDcwDUMQpe+FYbu/pc9Iq086oaZnIgseGUkmYa516cD7qSilmOzo1EK7Q3Aj1oFJPqfRKUXpJpjZnJrj1OJjVHhq7K8YXOMu6VxlndW1GNs67jnIWcSt89IY2zuT7jyTMVtiUwUlLPzQ8PnOjqGPo6REnyOGexwGkWAc2iOsRGQEry6m2r8Tk6BnSDuqRBB1/t0BJCyzfD98LRuQoqdTc0/0iizqQaEY10sK37v2Ojw4ZzGzqRahDSh3PM1Z4yiIF/8LxWRKpkmO5Rb0o1tOGsH4Rnji9iKcVD5EsCPC+E1aNeb6NA3sAZHXh6Wa03PG+jWY7O9Qbp4Pjwqy10+1H/+tiR2DYiYIgN57aYmex2xOMMqKRgc1OnYVxVy1s9k1akIY0A8MsjC/jB/u5bemu0sRySk3m/PHlkHnu8Kj1Ma3a+bAt2vmwLgO6ffVMiZ46+SeH5LFL6CPpcw0f6/zKoDrER0AnauqpGPQONs44gmh5fAZXXQECsAYqkwNFiHmS5g+TApKglRyJ6gw3nNrSbD5frrj/EEaVPutOa45JXI7ZgWah4yR9+OTrDSwR4K1LvwdIP3eOH53AyUty82d8hEAykbDeng4DEzoFpIwtJOK7yVprl6ByXQomouqtcL56BpGgJgTBYYsO5HX7XRiCmQQb0RBds61Tz7njHT1rACqEM665aLEfwE4692JWUwZhWc2QoIZVpzuhAwV9wdms/NQuPN/c4d/c5weclN9BieykduteCr3HOxOOsE3XD18XyoovRakfkGc7mWDNYsjvSOLNUI3vYcG5DW6mG6XHu4GbUnl+dBGh6tXQ9x6BxAfztVkSqkTbRjzxJgNZNs8c5HXrgTF6xdzfwBMmBymspoDSu5r1D8JLEENfDpSXJC6o9znz5W2MmVVmRcnQAMFgMN5HpdFLVXUEtSOC7/w3vfOpPgZmD3qvqOa1k0CZXT9Bmomlw33IjpG7o1uBQHuD4djupwxL17nHWVTxii342mFKhS1Jqj3M2GucgCmTeCzq6GK12RFBJ5OYlGynZKHco1Yhec04S7g02nNuQRqqh6aQjn9I2EcaHCnAlcPqmQbxky7D6TP9hDQ+2riToBWlgZKcbCIMMXp2UxJZTGoh04kb4O9ZJHt3QcFXTm7obVNWILtDIu17a4Lltz8GODfWke5cAXH3RmRyma4NKDFI/F5IM50LYa9+xVMNbPL3s0F3AQ3+Ll8/uAe58H0DS1zt202I5SmAsB5n7wUK8N63+RqXbxUZiF9DJx3Fa/QX1urE5myTOoPPoiYUqvv+Ukv5kVFVt3aPnVl3HOe3iuNV1IzKT9IP9dDQ4qnEmAupuePYZKhU6jkYlnRI/+93DhnMb2g2Sy7Ugu74TqYY2vLaNDYCIcOW5p+GMzUPecdQDpENF2jB2JPneCf0paTuBuTJIctOTKNOeIEkvvL2XUJdugOK65B+/2FjEG/BzoO41uJHkXS+1z/RSrWNjN3GCJMKrTh/zf/3az17o6m9Y70g9w6G5x3nAMJ47rfHqSAkpge2/vj3YOPk4zlp4zCtHR5l4nHW8QiehmuOJKQNjFA8/dxJTi8nSN/1NdW04I7KYfeIu4P99Ez524A+A/d8K6Z6zKCInKagBvFB1MLtcV8fma54KVwZSDVfK1Ivjv/vxcy1e9RwuFDZmdTS4GIk+EJHvaPH3RWdymyTvMncQ7Q02nNvQ7lmpOUGSEKEDw9nz9vzWq07zvI7CN2ZdUnWczfacgBp0dSRH3/RptXBE5D1wQeMFpj2BxznhtS6PqVtua0NG1Bbxx7/6IP7a/XPgn/8XgIKKC/pzXNn5VJpk2BPCi6b9k4td/hXrG79hiKRkj3PRxkDRW8RS5zVeHUlAfQmjiwdD21+0+JQ/iVazkGp4xjFBe7U6l3ltJA7PVrBYbd39NVh4dPblmeF5AoCffBEAYMMF/uUPICiIXmajcQ6iDbrpknn+TGv086Gjv2nzGOYrze8fHWnW87BGR4OjHmedHBilk9mbEu6lpG1MethwbkO7QcY0QiRR6jrOOlTz5vNfFKp4Aai6zbqusxneC5Wj856lqFaq1d+hulNpYzDVaW54iJpkvVMvUo3A0+xKgv3Q3+DU+oR68bkHgEN7fANXeyd03d/oOcyV600/J2kRRxQedBdaDPIbGVcSnppcwKmjJT9UazJUsn09Ylq5VPT4xbl498nTlp+GlaVUA14ioy/9oZABxUZUGFfKpgtUHQnQ1+ZLP2rlWYxjRqk2Vw4Dx54wXpTYWj4U2rdXr7P2KhLClRlcyZ1j06DnX+3gSCvVaLWIJu9/0aivnmJiGmdCTOPcKYS4kczPfm+w4dyGdgOMQOCN7ESqoYvhW14NX9OY8atqeAlEOrznSjK8kN7kl2BQJSEpqA/LUo30EMKLmmB7D0l7btA1ThJgHfpReIf93/QiBEFoXb/HpOES/qFFaanEqhrePaev/0Ib79pGRRJharGGC87aBFvEPc6bhor+M6uf005wXEJp9lex7duWn/af00ySAynoRKjHKt9T2oXBv94xte1R9PMqCTg6X2npWUzC9PKdUo4b3S9a2m/sG16Yd3OVdFSTyEsw03MGEW7d8xxqThZSoPVLNAcgbXJgq7woHUFWEaBgErY84zxaYYWgcmF6WUTp6Fn4uKxx7gU2nNuQZmLxd0lpON/35DHo9qva62gaskRq5WkWSAd0OTqte/W2pZz8tJGuvR6WEJivNPDkkfm2793ISILXOZAi27v3OGtj2BKAdCVw4kB4h2NP+K9rb0GixxmtF03NkgPNe22hmj47eyPh+t+3CHX11Fxx7mn+z93oBR0pMTAXN542VY9AePdHNlU1Ak+z5ScH6/NmwzmKq0M8CVjaYy8JR2YrHevalbGijr2lEs8tCBnOTc+ik88Lxoe64XFWullugNGOqFe2kdLj3Oq20NfEdF7pMdkSAgU7qY5zb9cqWarBGudeYMO5DUSttWzKuFGvtzNkNE8cmQsZsHqC1ujsWr2PWVVDGdTBOaWVDIQnThV+ml2u45dH2XBuhfbQxgee7jVilhCoOxKlgoXN9UmIekRnfPyXKjnQK4NHaC67aOXdaC7VCP4elmrEefzwnBfpURNaUj7AG1+5zf/Z7DIIABOzZUzOV1p+hisJheXJ2PYCNVCqTsGV2Wmc9fUWQvgltgBvvOIKCyHchMiOxvJKhrpEODpX6VjXbi5atlTjhvPm6mH/Zx0l6AUi+L0AlPGlPc69Sc02Cq4Md15M63F2W+yn542XTn4HN+x/J67a/wkMNua8HCeBwaIVe0OjR6kGEF8gS9n7wmwjw4ZzG9p6Fg2jKq1Uw3GDAuja4+xHaOrLkFIGDVAQGMmuJJQKltd1LDi/ZsZ63ZF49IVZtZ80OtEhyMzlBgitkeR1dotsVx6h7oYeIZRRNFi0sa2WUNWitoCR6qRfokh7iJKuc6vbTd+L1Ybrh2Wljt17LLLHOcb3njoWtNtNoWlyI8/gLybmcWi63HR/rZMtlpNbNw8tH1Ee54zK0WmPsy5v2Gkpy42ES80NCr/zqiQcX6hhdKDQ0bHN73tz5XDs9fGasZAS3Y8vGm2kEZTx5Uv+/EgmX/tWRCVYaTXOrfKcVEBDYuf+L2DcmcErZx7A5Qe/CEsIWAL449/6jfD+gCfV6B6ZkFie1snHJMOGcxuiBeQf8wxRjVkaRlK6Os7aCPI1zlId5/XP3wR8/qV45bevRYkc3zOgb3CXlOGsun+Z3oPkz6k0XOw7NOu/V3sxiMhoI8oPT2sCT31oK3WvERNCoOZIlGwL485U4j5j5Qnf06nKSsW9Dtqj1Az92s8OzeDxw0FkwQ8RErHHOQHHJc+4oJbZ6/5zH5HRnFyutzRK9IRcrASG8/zAGf7PQ+UjICJUG1k0XAgq6GjNfOB55MkziumRj6Kjg673X1LScGuC7360Hl80jVcn/axvEbnzOi1BBgSyEqK4VEM7bpjmBNFZ9d2njTC0sgEIhLOqz2C4Flz/l8/8CML7nGhyoCQKVUTpBtP5FhyXNc69wIZzG0xZBAD8YH+ylwhoHlKP4nhGUOAFIowd3YNLJr4CSAejJ/biJSd+4IfT9MdLw+Psb2s1+RleBfJcT36JHVsZzp22Ct5oBBrnKN1rxCyhqjQUbIFNjenEfcaqR2Fb+t6jrjTO+l4MS3vUJCyEWlilrQKzkWi45Bu3aZJoo1KNmaV6SytHG+WFSrBomhzb4f88uDyR2aSmr3cg1TImTJ48YzgynkilsY3kwG5yq83vfqR+MvZ6gerAsppfkhKSO/48BI6VUDk6GSSpMc3RkST9DKXRtOtoUvPXgd8oPx7aNugu4fTG4cToFpEXFe7hYpk2hLmtXXM3pjlsOLcjMsBEV53mb8oD2P6QjiR/ULO8jP3xiQdC+7zk8Dd9T5b+SEcSSrZlJC619nyaMhNzsCcCCpYywFmq0RoiJdWIDlzRiefxw3N46uhCqmMKKA9ywbKwyQkM57IY9n8erU762lQtAYqF21pEGwAzKmHWjw08kItVByMdhps3Aq65sG1jIt2597A3wQbbZpZrLec5KQGLXBSrM94WgROj5/qvD1SmlHwrw9HZlGxwObrmtJLm+d9flwYHecdHfRkl6Ul57BJw+gXBTnNKupVF0SN9faNtm11vGyeHtSZaYUUnBy5WG7jvyWOJ70kTidzWOBLb9rLa04m5FNJb9PReVSN6nnzte6GjoVkIcZsQ4oQQ4klj21YhxPeFEL/y/t3S5L3v8/b5lRDifb2e+EoRHUiTVp2+QYp0g6rjPZFEQfhvaPrJ0D5bZn/hG0umkVwqWCEPl641mQQhMO7MVbBOPmSPc3v8aiTRcj4Ro3Wh2mjbOEFjCbUIsiwRMpx/PRh4HceqR4OW2/CSeyKXql2Eww2s5ZjHmUgZzmNsOMdoyPQe5wPHFj0PXnAdppfrraudEGEr5oNCliOnYrH0Iv/1UnUKuhxhrwQGc7icmn6NnU5hnBYVDCwhQDJ9klgUfwG7ZEQtR18EjJ8V/L6oDDLdEMOk47uBgiRAM0ciWq2JScaUSQLBdf/FxDxu23Mw8T3tcqKIgFMTDOdTGkcTeysQeq+AQoh7l027gumcTn0atwN4W2Tb/wngB0T0SgA/8H4PIYTYCuAzAC4BcDGAzzQzsPuNaA3EqMc5dK9TukG14ScHqvCp60oMnQwbzqX6HAZrU5E2rEFjlCRvYhQzc9pcdap6kRYcqWpEMs1Ri5uEUJfnsbnjYVVHWXYwEVledQNbAJucIGR7cOg/+T+PV4+qxhWeHEM1Zoga7+2kGvDOLdyxTBuDdUfGNHWMWthqOUU7ynUnlhy4UGm0nOhcImyBEZ0Y2Ybl0in+r6XKlMpJyMDtSDAWfn4dd9OA4snTxI2M9yZ+ObouvzLShuzS8WDj6GnAaFChxZdqIF7Jp+PPA/kJ5nXHDUl0CKxxbkez5EAioFhIfjij0s4oBMIp9Xg1nVPrR5MXRuQ1QOnkxGPHiN/RvdzHTIeGMxE9CGAmsvmdAP7e+/nvAVyd8Na3Avg+Ec0Q0SyA7yNugPcl0QGmlWGsS1i1w/E8xros3IgzB7uxFNtvy+Izyltk3OG2p49NkxmvPM7Ba2bjAz85kKUaLYmWo5uYLaNSd32P86+OL/n7pZ2IhHcNbcvCJjd4nCaGz/N/Hqmf9A12Il3HOXJuaK1TC8t5TI+z8F+3uIVkDMcr3RWtr57EUs1tkrXeHCkJW4TxvA9tRbkYGM5FrxxdUui2U7TXXEe3zPu0XcRiI9IyOdCrdNSrVEMuGobzyGnqP82SoXHu6lMCVBK5+uCox5ldzu0xF8RE5DvNCM2jQe3kT+Q6OMU5Htu+tTGZqHHWyYG9LHKSbARK2MakJwt304uIaBIAvH9PS9jnTABm/Z0Jb1vfEx0j22XMpkm2cjzNkp7UtrjJlRU2LR/yw6sa2+goCLQ22MywkS8tIIKoL6FgCzguSzXaoT20+it+5OAMJucrvgxGd96LLlJaoVsq24Iw6gbVLqaGXuH/PFKfDjxUSJbktAu1B8mBwZnphhh6Ozuc45hSjXbl6JZrTmLnwFZeJzdmOG/GculU/9dSZRrtKnqkRR9H/2tOomZdYUbRqnKCbr2sx/hOvzr9fdOSMd6PblNyDY02nJHsEe4kQqCdPn73Oe+9rUruMQHSGHPNCJSWPzV9X4sv166chI14mcmt9WPNkwN71DhTNFELHG3qlZWaNpNus8SrJoT4kBBirxBi79RUskG5koQ8NJScMesbJZ5ncLHawJG55AYIUlLI42wJgS1OcqWOkeqkH67XaG1yqnCrETYiEIbr0/jfHr0Gv/kvF+JDk5+G67poOPzwtEJfI402VrVnQddBpg48OLp294ioowD1fscaQHVgG8geAACUZBlFt+xLehw3wchp4zVIikro3bXu1ebe6zGUVMMzNhN1hwFLNScm67ASq7AEuBQxnIe3om6PAIVBAIDtlGE7yxlJNeBV0wnyKfR91C6s3Amtci3WEq00qjoC1IuXXhKBykZJ0+FTIlINb85LyKsoJHSwbPtZpDXO4UpM2qBmmiMpkLuZiYIto0ltPM4FowTl9MBL/Z/HnalEg5qAnj3OSQ4WvahiuiMLw/m4EOLFAOD9m2QFTgB4ifH7WQCOJh2MiL5MRLuIaNe2bduSdllRTI1zkmfJhKAM4xdmynjkYLzcEGAUn6dAP7vVSBBDYcj/caSqQjrmDW572mRz8muqcTbeSwS8+vg92FxViQmvXvwxRk/sZY1zG4iUlz9YgHj/966fTgjsJPIpoCbAUQp0rpXCJpSKNtzh4J4frp80pBoJGmekK0eHSAa9NsiUFIEN5ygNl/yKNq0S9FR1FNWoREa/31bjBAGbsBxsGNqi3jQaBOuGaidTNV9ph5LmBF6y6CIqq3Dt9586jgPHVAfMv3sw3kp8raASspO/k2DhoV7v9Or4BmvFUDsObYl4nI83PXaxYKVu+wwE11dHrEJRSnDnwHaYUo1Q1I6aj5vtcl0KlWCuXyidhkphEwDAAmGc4l18JVHPGmeZsEjiaFNvZGE4fxPA+7yf3wfgGwn7fBfAW4QQW7ykwLd42/oeX+KAwOhtvi/5FS+Wasldv1xPdEYIvJlbXcNwfsnF/o9jtXjJG1tEPM6yufEUftiBl8zvC70+fuwhNpzb4Ne/9X73w61QV1F7nKVxn7TDslRkYpMMWm1XC5tQtC24I8EkOlqf9hdu+r46vlD1XydqranXYWdTe6+rNQQRj3TnvJFQnTnJ0xmrbealDSXsEmGh2ghdB2U3t17QbIbRZn1oi9rbMKBGGiczkWoAQa144WucA2Mgq8nTkRLVhtJ7//zwXDYHXQWiNblNLKG9kN19aep5JVDF8DgPbUnUOCd9QtG2OhqvybuHtaHnN9KSXFWjJUTAs/fjNdPfgvByjxw3kE4Rmi+azOcrCbsczPXLxa0oF7f6v2+h+HND5CUl9rDKSVokZblo3oh0Wo7unwA8BOBVQogJIcQfAvg8gDcLIX4F4M3e7xBC7BJC3AIARDQD4HMAfub991lvW99jriCjZac0Zn1k3T1wuZbcyljLNHQITQhgq0w2nEdr4SQCgbjGuVVoyDT6LWrgzKVw5Y5NJ36GBicHtoTgtdw2wnQ6BFprSNS876+TMLUQcY9ztbhJNbcZDibRkca0HzXQJYm++tDzoXNrpanXSUzmIKnvOf16593P1j+O3wAlmCybTpQAlqpOyFAWQrRc0LiSsCmkcfYKDJmGc306G6kGBdIR7Xk2K6xklRyoE40Xqg3MluuZHHM1SKqXrhFeNRzZYT8KnUeiv3thGs6Dm0ORBixPNTWSSrboKCdFjR0UM/T8hT8bTsn8+2eAr16Na498Hhf+/P8CoGq7+4nUxhgapV2BgGI1kJ8uF7eGqulslkmGM4UcYF2RYCRzDffe6LSqxnuI6MVEVCSis4joViI6SURXEtErvX9nvH33EtEHjPfeRkS/4f33laz/kLwwV5BumxtYhdRV8kgzwzlaSs4SAmPSKE11+quhp+uR+jQsGdQGJgQ6t8Br1HwxGvi2gS3OtOpMZTC8eJA9zm3QVTX8qdIbGAkqMdCUcHSSHOhIiTE3uO614iaUbAsN03D2EgS1l0sSoWGMym3L0SV4FglBwptLlIkcYL2hu6zJFFU1lFzHCXlu27VHlkTYhHBVDQGEDKiRxsmuZTSVehDtihpNZmnFdt6xTiBSSUzTS3U/CrMWaVWGUFfX6dTguOn+ZwEEi25UDANpaAswMObr29EoA/V4hSVAeZw7MpwpWbPtd6Tt5I/YKBABewPz5CUT30LRWVadXq2gGlErj3NrjbPhcS6EPc6JhjPaR7pN7n86rpRNboDCGude4Jz6NpgDjGn0Ju4L8jNxl1oYztqLqA3ncdNwHjsdtUGlcxUgjNbDCZK2JbxQsvo9WmfaxGj6ZEgAACAASURBVCyttM2Nl8AZrBwHnGpsOxNA5LXc9g3PoA3rYtWJGCHpjqk0zgh5nGvFzSgVLDSGAo3zSH0aul600jgHtUTVubQe/HyPs/l/ClpuE4E9zglICpIx0xivSzUnpiFvZZBKAsYpXFUDQGZSjZsf+LX/sz4N33NuhOyzlGpoj/PMch0DhbU7rbhu8+WvbcGvqtHJtdElTHWkSlQjUg0hEuUaUYq21VH5UH19o3+P1ryy4RSwXHMwX24A088AtXAH2O1z/wGzdKeO4iRhRnSSKFSC3KdycUvIcN6U6HHWrd7TXay9h+KBfB3hNulEWsjEWbsj3AoRLukW/Py1n70QC3MSqdWhK9FCqiE9Y1yF/ASAccOAwvApqAy/2P/V1DlrqYYZZqE2oSF9htsSakcKEDbXwjma338qvt9Gxq+D6/1uSjaWqg4Gira/Pe04pMrRSYwYHud6cRwl20LdMJyHGyf947pSLcpMjxNRm86B/j0SbbntvS7Z49yMuud1bvftDBYtLNUiHud2VTUkYQRG1Z2BcfWv4XEebcx0LdWom4srCnvNzZ+78Z42QycxnVyq4ZTRUibHXA1aeff85MA2q42o8SKNQUMSYFUjHmcgLNdoYjhbVmujLIrv4Y78Qa5nTXNVjYADxxbw2OFZ4PDDsddOW34aruFxJrSSarSO4hRqwbWvFDejXDI9zrOx/VXJ0PTNcJyE5NFkBwtLNXqBDec2SMMiMj3OPz88j4Yr/YcJCMKiSuOcnByow/x6EBYCGKdwolBlKDCcxw3DmaCkGmZpsnYaZ/3EbHPjiYYAcEo9bDj/YmLtJvbkAUUGLj0ZEREWaw2MDtj+9rRhb90AZVgGXse6p3FuDJpSjZN+OF0n+jVCHudOOgcaHmcj5Mx2cxwiXQIqOXuejH9HSgW/lremWQ1ejSTCcMhwHlP/Gh7n0cZ014sax1xcIWh4E010bFWRp1MkqVrBJ5frOGV0IJuDrgLSS95OQnhl/drV6v/RM+Eoob4cylki2xvOy00MZyFSjzFAc32sv43tJh9/mp85GHvt1PKzsC3Lfx7VNeiyqoZhOFcL46HGR5vcuOFsWwIF20p9qZKqriTJdczqOkznsOHcBu0dBsLeiKnFGuquDN3UZmOBZlIN5XEm3ysl3AZGUVbvhwUMbkbZMJxH62EPsBXROLcqkWcOmqe6yYPxNidsULdqALAR0fVv9TepQ3EEJdUYHSh4+6X33+hukIMyKElWL46iaFuoRaUaFCT0KQmBEV5oM/iFkwOT/jblReEkoTDKw+9FG9rsO1SysVR1QvWw1Y+Eg9PLiZpUVxKGyTCcS6PqX9NwdmZTL2oOTi/jwLEgehGNSug/InqZKYX3NC2SVGvguXIdp40NrNmOpDp5OwndctttkxwYj0QGz6El6xBuzTtgESh65UdTeJyBDj3OpBPa49upg/FqI+A7PuYPx147pfwsSrZAwU72OJvPUDuNs20azsXxkFRjPMHjbAnR0YIpqbNxUmSJr39vsOHcBjPMobzF6peppRrqjkTRDjfHsIRqy9osiUMPZJbWQRo1PavFTYBloTJ0ur9t3KisIeAlB5KZYNjc0+mH6hAOA81tucD/eSuFH9asJtL1A0WqamiNM3nXXz1C1NxRFcPyPM5DbmA4O4UxlAoWqoPh5EBtpOvEpEbEm9iyekObe8SV6CgMuFHQXv5mHnlz02DRxnLNgWWZryvP5A/2H0+sMOFKwpBpOA9owzm49mPObMsa0iYnFqo4vlDzf3ckGfr2VolM2XmdXKk8zo4kbBku+fXN1xo6ATzpebEipUBbHcPEd6gAKBnPPAbGAgtsJFJZA3GDN5SknAIdaYqaSH49aX7ufXzJ41zccB6vHsWgCBbHRJ7u2HvGbv7Rs8Fx0EbjXDfyWuxNYcPZjUd7C5YIRbXb0azOdzzqkD5CysRhw7kNpifRJfINlamFqi/VMMUauitcs6Qr3chCG0IoB8kCuhj68oDheTIMZ4JODgzrrps9qKYme1wGxdUXNr3K/3lrZJWbVXmq9YLUixzvd99bQ7qBiN6veZJmFC3nMT3Og2ObMVyyUR/YAm2aDTtzELLuL8hUVQ3Tu9Ha8NHXspkXRCen8hUPoxecKgms9aRVKlioNmToedeJl64kVOsJHiDXwQCUQU3CAorD6oUR03CegYV0XttoJQiCETmi5npMtQhM9RFt0QtJABgdKDSNuPU7rlf28aYHno0ZFpYInqlWd0XU+WBKpgajhrNmJGi5juXpxOPrBjZp0ZEmgfAz3nN5s3WIP0bOT8ReEyBslVPGM06wbeEvkKqNQJbZUuNMhEI9mIdrxTEsGxrnZlKNTpwbSQ67pOo57Qx8pjVsOLfBfBCk1B2XCLPlhvI4GhnkgTHbPOtWF5/3jTGjpmfVM5zLg2YTjHhVDdeNdjRqvsrUr5gZu/PjgeG8RYYTWViqEUZfS7PsnM5IjhpWaQc3LbcZcAON82+e/wpsHirChQ2MGHKNxqyfpEaI6lfTdQ70vUvPP4TffP5m4OSzvlykYLNUI4ovx2lhdGpKtoVKww097yqZVOnSK42EXAej3BgVR4IPKQ6iaivvsw0XI0aDnFZE6wprox0Ia5z1a/q3LL1OuqoGAIwNFtZsSTptDC1UGrFrp3MT2nnpo7aLmV8wQOXghaaGc3jM9z8fnUWHtOdciIQ6zoTUC/0Ng3SAxSDnZ2LoXP/nrY3jvuFMFG5/bjqbWmqHa4sQpO6pujUEaZVQMTzOo+5cLIRoWUoikvZamfND3ZFeV9Pw3PS1n72QqUxrI8KGcxuIgklJ64nnKw1sGioqw9mI0eqQeiuPs5ZZCOFNZ1VjBVpQA+nyQGA4mYaz3wDF8CS3SvDxPc5ELQzniFSDjagQse56OswJNfDoy99J6FNHJUzDGYPjsCwv/DcWThIjAPCkPWYorl1yV2A8EU479iPgK/8Fl07cBnztvYAXqeCqGnHUc4xUdZyVx9mNeJyFb7wmGs5GuSvS+maPcOg2/Gz+9NfTSCKerBbU+yZCSEZikmUTBJfgG84DRRs1Jzk5ut/R5UQlEZYixr8a22XoOU9aeCTpSQF1Xw3JZoZzMOZjOfk6W6IzY7dZ6TzdcvvnL8zhsRfiXs5u+M4Tk5icr7TfsU8hAIXaDECe4Tl8CmYGX+K/vqV+3HcySAqqWwHhMZiMqHQMw0lWK4yrecAqoWqr+8CGDEk3AWWgd+ZxDnZ88ug89vx6OhZZev5kOWTXMJ3DhnMbTINIa8PKdRfDAzZqjvQTBvTrQoQbSzgR94PjBh0DhRARw1lNopXSKSqEC2CkMeM3QSEABcuKNVFpqnHWXoXaAopQk0DdGsLScDAgbJUnQ+9hqUYYvRgyf9f3gWrJHBTFT/vNCSjP1aBjGM4D475+HaOBxn2kMQ0QJWuciVpeL3NgP+fZr8AfKk88hVOWfw2XvOTAlOe9YSCCbVloVsdZf18CyuNcbbjh5EBvH1dSqBmJ/7rpcS6NhV4rl8ws+/Ak+r0mpSLdiMuZSEkO1Lk2Lzmo7+EsUIs66Xu01+r625HkR5UWYoYzQomBRVskakqjz6S/sCHCoGk4m4umYcPjXJ5OfCZVlCj93wK9sI5cfx31XK67ifdnNyxWHdQaazMhFFD3a7FqPG/Dp2K+FIzDmxrHUbAsf041Pc7mQqmlJ78aTgzUkSCzJF00MVQI0dEYHZ0f6o6MnZOOmrCTrHvYcG6DKYXQRqorSXV586pqaNSkoValevP/vP/ZhOPpbFkAVTNZQE2irihADoerK2i0xtkvR9cidEj6f4YHo1Lcgkppq58ytJnmATeYINhwDkOG0ap+D66h6c2hDsLeWitZcuIeZ0dSuLpC/aRf3UFSpAFKq7Ag9ARJkNLFlvmnQq+dPbNH/W2cHBhDLVCFL5FphW0J1ByjHS+0x1mNE9UEj3PYcB4JvbZslKcad2cDbyURZpaTW1m7MjwxEsH3OCc9zuTvl6HHWRJq3qRt1j1fa+hFsSRCde4YUA6MKZXUK/1rUrStxCoG8eTA4N/BVB7nJlINkT5kH/wt8XvYLGWa1XVaaUPsqw8dyvR4BELBNJxHTsXCgGE41475YwIR1MJaa9dDUo0WeQOmx9ke89czZpQJ5XC0QUBFtdJ+tU7oXICaE5dq6AUuj/vdw4ZzG8J1nIPEG93FqWisBrUn2ZWBl7IaCVk6XpkES3j7JHicJRHkqFmSTq1CfamGlP4gJYRo6oXwB0ZjIC4Xt0KKAmrFTcGOxgPNhnMY8sJyQTm6ICNdysCbR0hvLFhCAG41aIEubKA4rLwYLoWkGuPOSV/6Q4hXa2k1+BGAidkKRpeeR9FZDr12SvlZddwOJ+ONgH/NKV2da0lkZNyT39Y6lcbZ8zqS917T46wMZ/VzzZEo11t0IzU9zggiEa0Wc9Tm9U4whw1zobnWcL08lu3ze3H+P18K/I9X4D8//z8BwJNSBfK9gm2h4cT/0Kh21Fz8DIQMZ9PjHDgzUJmFJcPXmtC5J19Hx6L3sF81JoVeOy26GslK8dz0cvudOoGAYs2QrQxvxYLhcR6rHfO0xsHC+okj86g5bmih1NKBUgtyFmqFMX9BUyluDvYphyPABGCgYKceo835QUpCzZFAJBfG9SSG7HHuHjac22BqgbREwpWqDF096nEG+S1ttQcqKtXQxxBCKO2hoXesexpnSYA0wvVa56wf2IYbTJS6vm/TcycKeU0qxU3KmxJ6WINVLhvOYfTE43ucob9v8iQ5wX5pEQIYMA3ZwU2AEKoBiitDUo2xxkk4UqJUUB6OaFWNVteLiHDn3sMYm38m9tqW6uHAIOdLHoJAfi5BUlWN6BYzp8FcjLhSJobCrbpx7T2phu011zA9zpucGX/sqTZclJuE1aMNDsiITBCatw2XMluPo148COQ/KX/90Xj1gyzwHm1cPHWnksiRxMUTtwMLk7CEroqkKNrC9+ybxKQaRqJm2OM8Hvxs2SEDatCJlyYTHS5IVJfD+P3q+W7a5kh0gtaGrxTNOvP2QqkWlmosDRqSueoxFG3Ln1NtS2DPr6exWHVC16Slx9kwnOv2sC+hqRSMuThB3z7Qicc5kgOjpRomDZe8Kk3pjsnEYcO5DaZhqieohmt4nG0RCtfrSUNPIlENnFrtKZmG0jgHA2TNHvGOQ6CQ4Rzonmyvc6D/e4tyYn44xvyMwjiIgFopeZXbritWP7Hv+Zn2O/VI4H0Mfk/yOKOD0JcQAiU37nkaKCjdPMaNzpGNKTRcrUWmjqpqaK/ncHUy9tqWygugFkmsvXIoa4/QCkKkpRpAmq9HEvyFsjTuF1ci0eMsGqa2XV37gq00k6beccyQalRaGM5uxADWUTH9S9M6zsguOTT0LIj0z0K3/OrEUvudukAIAG4Nr1j8WfiFZ38YquOsaupbiS2Om0k1iIABt4nGGWEDargRTtoTiCcH/vhXyZIODZEnJ2uicW7XHroTolGPvGnWmbdbCBHDOSLVGKlOoiiC8bZgCdQdCccN55m0q6rh/2iP+M9lubgl2KccntMEtOGc7ss1pUNE5Ek1wvOEnkO4mlL3sOHcBrMEUOBxJt87WIxonAu2eqD0hBsNrWuPlO4IFNI4a4+zJNCYIdWoTXnnEkg1/PMTzR8Af/VbCbf5JBDqJfNhNQznNbQMfeDp1hNHFkRrHWuPM8H7rkIe53TfnUCkLJXndRzwKjRg7Az/pbHGlH+fqUVbuCtcy86B3r06XIm3Wx9wl1ConeyouH4n3J2TR3AlKFjC0363sDoN1EI5+Fll36tnM0njbCVINVQkSYZa8I45M77RVW00l2pEDSDlcfYmR8RD9WY5uqwwoy9mp828aOTYmXB49mmUZDW88eCDfjUc/ZcVbJFYNzcq1TAboAzIJnWcEda6DjfiToFoHeeHnj0Z28eEgCYa56Csala2k2tEZk8sVHPxCJtkXSecCChGPM5OcRQVXR5S1rEZC/6+ti1Qc1w0XBkag1v1VQhFl+0gt6FiyiYTpBqdaJyjVZdqjbie2ZGUqZzq1j0HMTFbbr/jOoIN5zaYiS76AdEa55ojQ4aHzrZtuIFUIzqwOlJNrFaTcnT6wSPDeDKlGrYv1VDn0i7kQqBIGZwx9UA1MZzXku5pJYx87ZUzdYraYHWNyIKapNIfd0DGO8cNFrXHObj2457hrAfPUHIgWhs/2vM4XE2uxjBUOZZbcuBargdesC3lcZZIlGpEEQg8zkTwF1qDRStRqmEneJyHSjaqDRfLpbDhrM20JANcE/c4k//9t7L9deJrFhABEMKvGZz3MFLPqhxIBCGAwcXn4y+ceMr3OOsxsmgHlRXu3Bt0nIve+34XR6Kwx3kgWoowGJOHG82kGsGxm3Wn1ei5JK5x1ovu7MZ7Uy+97/lZHDqZb8Qpa8OcQCgZzUkwvBW2EJgtBl7nF9EJ33tb8JKCY4Yz0PzmN6UahcBwrhaSZZOaUsFOvQw1Pc6SVDfP6NzUcKXfPj4LphZr+PqjRzI51lqBDec2qEmAcGSugu89ddzXOBc8yYQZ6lYeZ5VprQ2qaChPeuFxIbwwsLEKbXhGrSQCjceTAwHlmTJ1du01zgiXwfGkGiGP8/La9DivhKzET/YytvmZ9zLw5hGhIx9byHD2KisMFCxV/3b0NEjYAIARZw7UqKFoW1CdA8OhuJYeZ6k8zqO1wONct4f9nwcrx3NLDoxq+9cSultXs5bb0W+raFv+8y6J/MRC27ISFxCmx1l4XsfBoq3kGGZDBGfGn/CqDRdDRTvxfGNhcmOBpTzfzcvRZRlw0AZzp1rcbmhnNHaLgMDA4gvxF6afgUXS79qqnBjB9X1hJjCIo8+kJOCnz06jXHdbepwrIcM5weOM8EK5WXtljRr/4zp9ncgX1cb3gtlboFMnQqcQUT4e50YwFy9Zo7AEMFsIqp38xsCCP6falpJqNmJSjbQaZ9Pj3Dw5UJe8TO1xdsLnUnNkglQjW41zqWCtKYdbFrDhnAIioFxzML1YUwlaLqFYsFR4MuRxDrRP2pPTiNydjlSrVZEg1WgUR4PBLGQ4B1INXbJM36eixQPgG0QRqYYk8lo7e6xRqcZKdD5Sg2RgOWtPDSFcr7vTSWiwieFcbUjAskOex4HqCb+WpzkwElp/B8rjLDFaCxZex0b/U3AO1RO5aZzXssfZ9mqnGkqcRPRfWCpY/vfoS3ta/PmWE08OHCoqj7NpOI84cyBXeZqrDYnBFoZz9Ly054kQ/xvMCJqVw/XvtFFHN9QTqllkgRDA4FKC4exUMVg+EnrOtRMDCF+D6PWQRHj62CKW605E4xyVagRj8lAj3phEjTXBsdt53X0jTsS3Z+1xNhdv7SRkvSIpOXegV4qNwLD9+lPLgBA4aQeG84vFTKiqRiDVMM5NptM41+0g2lApJs/FmlLBSl9VQ4alfDWvq6n5bkdSLHrRC/nMIP0NG85t0N4a11u96VJPJVs1IjFvSu1tqruyZVUNLdMQQgBGhr1TGPElACIq1fBucl2yTD9IVkuNs/daKDlQyUEahuHsLE35Hpw1ZTivwKmqCLRRjs7XBlKoAQohnbGgS5yFPc5qAlXRCnWMpdJp/sujteO+x9kxstf15Nf8swDXlaFJ+MRo0EZ2sDqVW1WNtXQfRSnYSuOsq99EMbcQ1MTmJwfKoHxhswnFbgTPvNBSjaKNct2FtIpwB5QHyoIEeaHbquNiqGQnLpRU5MVYUFHQYZIif4P55yQZ1VkQ1eLmQV4eZwAYXDqcuH1o/jnfk6+SA4NEbZeC7zup5bb0IlQDzeo4A6H2y9HkQCD+vbbTeWuPc9J2QHdIbHmI1JhSjWinuqyRRE0TZbuFEPY4z8khgAizhuE8Wjvu5xPoXCZHqrJ++ycXsFxzWv/tkeRA/+cWyYFAL1U1lFQjaiM4Umb6jOYdYehH2HBugy5F5riqmYHu+qb1baFJlLyi+LoKAlFiVQ2lcfbCpIbh7BaG/dW6NTiOujUEACjIGlCZDTTOxurebuHdIi8kZ2qcq4VNynNpGM6z08dwYFI91G2if33FSoSHgtC7+t00VlUlAfgvpDkd5cUUGKS4x9lkyWi7PlILDFyd8Od9aEsDVQCwG4uwyQtrlkYxP3Cm//pw7YRn5GVPuzByP2NbInUDFECFUk2pRqHNYiSscfY8ziXb10O7I8GiSXidxGoNF1uGS4meNhmRahCAex6bwBMT897CL/k8JLVxqXdIcArZebOakZtUQwiUKkbd+9Ne4/88uDwR0jgXbBHSkgf/RjzOUo3FjqTEajr+Z7XxOJuJ6kDz7+DEokpsbNZyW3ucmxnW3RCtZZzn2OxKQjVrw5kIJVOqIYZRcyWmraCj40jtRCDTEWGN8+OH5zBbrrfMKUAteO5NqUa1FClHZ36XUAvztJiOOp0cGL1vlFSDq2r0AhvOKdBe5poj/aoWBc8D6Cf5eXvaXna87YV6o52lHCn9ihoWEGqG4BaG/UHNsiwslYxuUouTXkkiEaq/qutGJ5+39wyGpBpjkJLQGAy8G6VakITkNuum0oeslFTD1Dir79RruU2BBlbLN9ofT71nMFRVIxhE9b1kepzH6if8hZiauINzazlBCWDITDIaPgVLpWAiGKqeCCU+Zslauo+iFHyNc7pybVGphrkYSfpmC4ZUwzKSA7VR7A4H156WleFc8QznJE9bLDmQgPlKA/snFxIncrN8ZlbJgeZx8+wcqBeK+WmcgVI1SNAqn3qh//PA8tGQTK5gWf59btZqjg5LZk7EgNu9xjlq7DSTavzDT4PkRinjCyezO2JW1ynscc7XKCNSkoQsP4OIQlKNRYyiWncxZQfj5Wj1mA4t+h1DG66ESzq6q+VPyZ/RqATJh2ZyoCwMoWENqF/cGopmNBIqCTUtpjRUa5wtK/w8ahtkDQcFVx02nNug9YoueR5nobxpWqoRCn2Susl1fWdJFE8OpEDjPCCq0Lc0FYYgrIIf0rMEsDQQTKBYULV4BcLGUquQi/I4UygBsWaPKoN+IDCci/8/e28aa0t2nYd9e1fVGe/w5m6ym0NzFklZIiVRohhHQ0zF8iArkGLJCQxLkCMIBgIYBvIjQJBEShzYCGIjlmU5lhghEmwp0UjN0UCKIiVqaJLdHHvufv3me999dzxjVe2VH3uvvdeuqnPuufee80J2vwWQfd85darqnKra+9vf+ta3Jnt+MmjyJf1yjftXHBgXgFqQbFN0vGxi+cax+4O9hh0SdleCeeI9xMB524OxsjZBzT6WVipmrvqXMBDAuTPd9drpZcdX0n1UDVkcOI+R5bdaiRZa99j3u+njsVQj1jgDgOmFa8SM8zg3uNDPGl06SorvAwJwOC7w/PYRAEJGU3zw2R/Ff/65H8bmMIAqLnxddqxqMQYA//ojzwGA64hm4+7RBNuHk6XsP0XuU/ZGJRhdfKd/r3V0A6Wxcj1CLNWQXv/14kDyTiethTXOdVcNVMb6WTpvXlSEezC+yMYEOcVSOwf6Bf1qpRolEdppslRnFV1MkFAOAChUhgkyjPIS2wjPYo+lGs49i32c+Zoziz9rMVoMBXAWjLNSKvLwltdeAfjP3vPowt8j8vkncsRdTK5xceCDjrGnjwfA+Zhg9iRmnIVUo6IZzBKNaWmQ6LrvLgDnxKGRaKBdBvBErb73ZGamK2acbwKwr8tBSs1Ji/KDHNvgrNnvIxnn6W6k0/5Kifth3MCpbj8pIAyScefABfdHrgAp0jiv1bY7FIumjXwbaaK8S4YHzsdMfFpVtJK9ixgLz9BuvruS4jDgK7s4MNXaPb+Ltdy2jLP9mxda8yaltBCuGp2gcW5inDFg4FzifL+FYV53E7AZKJkqt64D7G7xnfu/gHdv/SYePfgMPvjcPw2fWzLj7L8TVqd5PJpYcCPH1WfuHOLZO4ezPnKi2CwDaMnbFzBeC6ClNbjha1QA14zK3efBcq7+3Y1bbBtjKozzPDu6JsY5vq9mse4MKHlsqNvRBcZ5WY9paWJWc5U1DoYIa+0U4+nyJoA0j8mlkuzibEuFa9KfbINMaQvGEx2KA13dCc8Ns1xspEQrBs7AMI3HZQ4C8JYr9flhVlQ7BypYB6+tgwmevGbv7dxVPS/zEq1gGPmyjgfA+ZhgO7rSEKaFtZljH2c5iP7yp67DGEKqg78zF3PJsKlcOwhGOtes7x0y2AZLso7Ytw0lAoiz+53nx0gAYAogtyyHgcZUdy04z9ZQqhQAkJYjIB+unClYdtwPqQZ3RPPFgRSY3tKEQfI49peD27J3j9M4i0XTZr7ti1BlhqGpuQXHtDBQSlWA86WI2ejke8fqcU8bX8nFgV7j3NCuGIgBgkKlONAxzvO+vpRqKNd22WqcHeCRGudDayU4zg3W2mnj7yoX0nx+o2npvL8J37H78/69Rw8+g4sDy9oeQ6ifOuRCc9nBTPNUMM6mAtrOEhsmsIJ55yIma6/z/84Or/nmEQpxMS9nv2YyzgSocgINuziipA2k7fi7peuAtmNyuxwgMdPo/eqCZCZwLoKjClAHNWxHt2iWbJGQ3/tYCdlZj2UscG5aRJ42EuHhPE7W/dw+pLavB9JUgAbbMBTcs2xPBdmNcfYzNQs4a6UwlIxzQ7v1RSOv+DhrbTHC3aOJy0BZVrqaFdof5tgdTGv7exDN8QA4LxDMOI+LElponKUd2Yt3B07Ibx8o7h5WddUojGWcq8CZWv1Iw6aUwn4nFHJh96p/XRYDzZukq5q6se55TXSSaAzTsJpOxvdWPuAtO+6LVAOoOU9IdoGvv5fFHLc/t0kXzYwzD7qH7WBHeCG/5RdiWmjaiWY36PjxjzwLraylmY/+RTtg6wwAkJkxWjReiSB1la4Hq45UK5/ZUUBUwNsU0se5JOftPufeTIt6gVgnS3xnwHItXHt9aBsLTIoSnSzxu5W/JtEDYgAAIABJREFUb1XjzO8rAO3hHbQonhAfPvoCgNU961X7q2XGJLffO6+4Byzrq2yWYaGZdy5i0nsIxk2T2XALKIMkxEo1WOM8e5+cJZKZhirbDABQGhAynV4RFwhWmxXlpcHHn92uEQh5lXGuSjVISM6W9LvJOck6Dy1nv43HIqDfTpbqrJFMQ8ZimKx54FwYQt4PTVD04U2Qr2Ui11OBnM6ZZsufiolfCJXQKJOwaNIKFeC876/pSRe2xgRCiTNKCsoTf0AoDpTP/xdvHeCzN/Yb9/kg6vEAOB8TXuNsCJPcMs5W46wiVwUuGskSa4zOQGfa4KqRaDRYkvVrgv0YOL/k/yRINmGOqwZQAc52lWt1WHGrz3R0b6mpu/sR94VxpkpxIJH/naRU5yQThVJAV2qcW3WN82H7IZ8R2CzvWU20OxeZFm5s0EGEg1EOQKFbihR294L9QC94RHeLg5Vo3V4JjHOv2Efvp94P/PPH8K47H/bvV3/yqDjQ0HynEqIYODuda69lgYBSgNkI8gB9cANEhN3B1FpRut+Vtb4As13hiLwdAegfPFM7hYvDF8I/VpRjXRUoHxcWLEULhwUXrYvEhhFSjc5FGJXFdQHD2774S0o1+PdvYpytfIPQKmYXBvroi+LdirNGtb5lWhIef2m3ltXkzrI8PjRJNYC4XuKsIS0RV844k9U4L7OOQrLBY93z83RRGhT9eCFLjnEG7H1IBF+wT5ghf5rI/feji6IQM85rxe6JSKGPPhV8+uOuoTa7qZTFJyzhybk4UCz2CBRlcU4S8ts+t7UcydSXezwAzseFAuBdNUqhcdbOSNxuxkUjmdM+Jdoy0lV3gdLJObRSaFMVOMcDzn5HFAXsvuj/5IEYOL5zYFsM1iMHnA1Z9kI+rMn4ngXNX0GM8/1gx31xoExDGgBkWSYGTIuyLORYgEiq0cA+kUpw1A0Lp8vFTd9wJ5Zq1AfpaWm8f2fHCJar4xZKfVkgePq04LwozPLSwPc71jsZ3nipj289+HXonWeBcoK/9tz/Auw837h9O9VBsuMm1ZlfPR9Cw8kNVAtI7OIoS7Rrhatg1sN11wfX8eLdAd760Lr3lgYCgATqixQJ6NYPnq2dggTOX2lSDS6gnFaKoJZ1vL54Xor2JowhHIjsT39409aVAF6uJzt4UgOLy4x4JgoDVet44NyfVrrIVdxK8oaucPYcyIPnJgzHxc3L/N1Mze1nOfuddaxUtDtfRiRiMTvWXQ+Ai5JQip4K6uCGLQxNNLR2ixSwXIq8tK8WokB/rHvRW0rF3QN7xf7M79Z0TT/9clhgJWJxbRz7za3iOVvDhE/1CJPi7Az+L33q1dF6+wFwnhOy0QTfeNy5L0u0a7ls7+LCjkaecc4S+9BVB6bShJbbbSNYx2ytZi132L6CUrluYUd3rBYZgORXWIM96/xbJl5JA05nrVRUkJBMdn2l9VdK3A/jBga6nnFGqJKXPr9NE2ZT8Ge6kIxzXeMMAIe91/u/L05vhPsukmrEcXt/jF9/4qZPNXZlMRID514oDO2Kts7LDPs7LX+/9yM2uin+47dewjcf/Z5/TcMAz/xu4/adLPHXIXQOnPHlBfM0qUygfD3N+sMo3dCsh9sYDQe4st6OMlKRxrdyrExrtFINBaB3dBXVuDB6qfnclhTVDnfLDNY4S8Z5mRrnHglf/dYGCMBBR3RxHd/0WUa2HpVAsQnIsoXkQozzugDp0+3orWq3t2lp6u3WYX+LwphQQF6RzpRuruJ6mg8/cQOfP2Oavtpye9WdA+U4uIxIxLUZqy66WQKtFXJjUIoMULJ/zWaNtHLZZ1PXODetRkWBPmd+OayrhigOLPYDa1zZTVNBrwTZqdbeAtcYeAmZZJxDy22xdwoyqJOGPMfRtPiKJUxOEg+A85wgcg1GYG+8cVEiUTZ9kyUqbrnsBsfMmeJr91BVH+7CAWetFDom1jpWW/WSSiPW+eLwRX9evN08P0YCohavIzFRa6UwTIRU4ytQ48zVzKsM1rP5SYGc0wbYVSUUhS1yJgSnlqD5rhoAcNgPwPny+CWUJSHTKpKoVAfp4bTAc9tHKI2VdXSNnKxtIZqUanSmeyuBOFxQ+5UauhjgoeJm/OLVP23c9nveG57Rqo9zLab1haz8rFKA0hnuqrC4of3raGdJlJGqaZzFAZNEoZMm1r1ldKd2Cv3pNmBckdqs8zxDzLPIPGt4jbOwYmO2bxnRFUSDaW3AUMw4r41v+TGfnZVMDTTG+2RGsjXHUcPHRmA31ydb0VtNxYGmYcwmCkyoaqiCYP9mPu+tgwl+5dNnYwpL0Wp6mUWHjcdywHWpwDkX8yQ66GS2bqEoCWbzDWG7/au+7kV7O0Ly0qiZBdsRcLbPPZ+9VnUrwmptFAezyDKkrKPKOMNJdUpjokVn1ROccHwL90VCAvRXcjwAzjNi+3DiQS4Dytyt1FiqweAEcKlpJ9XIS9vSclqY2sQUM85xE4wmh4y7vTf7vy8O66niua4aBHTKMBF4qYax1baDSKqxu9QiG45xXmLrYHz8hqeIVRehAIFB8NkHl+KECg4pXBi4kI8zWe/nmHFunkQPNt7m/74yfA6FMchSHaVEldA82/MDtg8m1uReqwgIBMZZAOd8D0SEn/mTF48995NEE/O2yvjYM9vHb7RgEAH9gxfqb1z7C/t+5eW3XFnzrxknp5n51aWnuurGxwW8JvGmesi/rvdeRDu1Ezlf6xpwFGeVaYVOptHNErRHMfgCgIRKYLC836sa1U5lywyWqNSkGkvav1xomtY6iIDDdigOWx/f8mkelsQQxPjgZFxRkH1/XrttHxtBprM2jRc9VTs66SFcORwKR9owkJNYi4hrNex4lhuDLD2baCcuDgRW2f/I+Mzb8vZZZZx7rdSDUDongPPBy16O1UmTiHH27ilNAqgGxpm30kphnEkf56Bbb1r0VOV5cvxPddzNMlHKkXjkpRiFsXOQ/P2IbHfSswYBS7UJ/HKNB8B5RvzGkzdx92ji0lxBcC+lGqUx/iFh1odbbnNFbnUQ5apbrRRaJk7XN7HHOw3AWeqc5hcHUoVxDhrnRCkM7gPjfH13uFRQI+N+MOREiDvBUSgYLI2VvHB1+okY5zlSDdZx7m+83b92efBMTaphHAj/iY+GQjEiYPsoLPpk6hkdZpyFxjm3jPOyrYiMWf21kfGxp5d7j/X2G/TMg62ofT3QnEpNXBq08dtP5EK2QarhQM41FZhHs/2c11Hz+BBLFSqMs9bothJ0Wwk64wCcZToY+5ZhXIXG2RbTrubajz3jHLcWXtbhekZKNdZrjPP65Fawo9Pay/H8+IAmIGsZyXbU/KR5sUwR4xwDZ7tIDv+eFCbqJOr3QeRt0oBm8MVg35AF4NmsdncLRrR4W/G4TISla5y1YJyH6Fj5lRvjIYHz/ssgJiVaiWf2ZTfGxp9SZpqSusZZAudOvhd1opTBY4QMSfDWNc7Kz1VTwThX6xAIZ2OKQ0aWvB/9KzkeAOcZwYOSZRSdtZtjfUpDyFLLOPNNzMxDkGq4itvKfnlFqhXQqjTBqLKHAHC39xb/90NHX7L7QDwYziqMNwS0BeM4UpwisqxYBJwnq2GcS4OVPUgMYlcZQbPqjokAWEvD7KJjmxc4FyJAUYkuRKezLAyk3/veR/GLj18DABxuvMVbYZ0bXQPGB5GzAoPwg3Eu9k/YOpigLC2o70Us14a9VyLG2QLBZVv7MVi4X3EofoNlROdwBgN/VyxSxMtS45xWc6ky5kg1CK4TpQKuIoA1c/c5dCpSjUkk1YgnwdRJNXqJQXd6z+1b4fZa6IKHg9UV8axUqiEYZ+kOUQXqz945xGBycp9fCZxNewNEiIDzxuQ2WMFtwZuJwHKTZIvIPl8dM1/jrJUCicLQtZpUI5YA5V7jXGec5cKqxlB6ttn+Xbhx7CxRtaNb5aNvpRp6qXIQ6XQzRAftVCNLNLQCkrVLfqGj8wFak3tItUI3S1C4+5BdtYhmuWrI4sAGjbMAzu18b6adZ9P+pUQmq3iLa9eluDCxHV21nsoyzmdniokC8fNKjgfAeUaM89IX0RFZYNzhgoHSWK0phQGHB7BWyq24rZ9z9eHm1L9WqibVaHJIuLX+bv/3a46+ABQTt+oM285knInQaWCcyTGmA8FAZeN7XqO1zCgNLdVvU0YTu7OKiCqQ3aTDbiYx47wIcrb+yRxDdCEpitdf7OHu0dRei7SLGx27cFIgnN/+S2SJjlb3CoGFc7vH1uHYT4b9RsY56Gc7072VLEAMrTZdW42DJQPn1rCuDQYA3H1mLktrTPDbbdwusqWKpRrwjLPCy4JxXjt6yS7aha5TMq4WvIVItUInS3De7HqodZRdwEEn7HOVwBlzupmeNXhyN0QRs1Y93Geu7WHn6ORZlFiqYTXOUqqxMd1C6lxRUufly4AJYBa3DmSNOV6qoRVghFRjfXonGtylZAyAr6GpPbuEKF1fvQ+ZGWWwq3D2zEPcchsru/6APfds2a4aYp4cUAcA8J++62EopZAlCXDprf79zcELSJwcigkzY4JsprFzYIPGmUMrYCJkk+3pHsrCLvqasgU1jbO41mmiUPo28HbfVY1z6Yi9qsZ5cko7OhlEqyPKvpziAXCeEcw4a60ce2bQybRjfUJKhD1+WaqR6qBxZsb5N560RUZFaRyrZIGvZJxVe61Rr3zUvoI9VyCYmglw/S8jgDZv6CAA7bLOOLsj4kjHjDOZVQCoFQJnmr1oWFZU7YXIHZhZNb4/zILnQiC0xCA9Vp2GbeyAmWjg2d57/OuXt/4UWSIaoACAUtFARQTsDnMYIrRQouOYbQMd0sOCcW7neytZgDQBiFXG4Xh5XcQAoCW1wQ9/dfj7bvBFjnSj7r/MOM9cRIlGC/HzGBxXlAJegLAiHD5bk2rItGq1OI6B86bwJB6kFyI/YhxtRee9zJiVATtrlKLwiHWbQDNwPu39J1lhcoxzkXS8vClBiYuwLH7q7Oj4HOx/G4oDiVAaHA+ctYJpnwNSu6BqlUNgHNwuqkw+M85VAEkgX1zWlNonCI3zkp5RyfpbJnspu20MtqNbqsY5D9d9CNuc5OvecB5aWzCKS0E2d27wAlKtkTrCgygGr43kvQDOk6TCOEOBkhTonHP/JtAwtiLkkE235GuAy4Jo5V01WNKpYIsYmXEuxb3KQXR6qUY8Dj6QaryqY5yX3tLLPhjWdirRygPf0qXsgTBwxK4adkB/+rZ9aH7io8/bAd7pjlqlAM4zNM4AcPXcN4Z/PPnzs9msShBR5NwhJ2qlgKMGqcZZwc7WwTiqCC4NYTRdLqjh4FTj3G2I8C9+v94E4iTHSIQNFLOzyrFqrBVbtAWDIUTAedQAnDm0UvhS7xv8v19363fR1sYPfHwfyNQYn0U71VhX4TjTdA0fe/auZaclcJ7uAitYgHB6+n7FsoFzNhKa6de/P/y99/LczxHhmOJAwThXiwNFNuplegh5aifY9XIP3fFW1Pwmr0o1xH6UUui3E/SLALoG6XmMRKdQDO/O/R6nCZ7Pa1ZXS4q8NP77Z4n27YWb7Oiqv8kiQUToRa4a6+GpPhdabz9M9t7gQiypZ6eGh4nHqchFqUHjrBQsl70pGl+JzIC0+TOGwrGrx6PQWdH+f8XlhUINwrLAp9zXqp994wiq5drRhWtzRGFM1kpZ4Hw5FGqfc4xzktgbnmC/r2ecmw4ggXMD46yAyIpQHTVnvGy2swqc7X9ZquEXcw6HsFabgTPfRTXGeRnFgQSMV0SUfTnFA+A8IyZFGdrnwqY6OmniV3s8ifFNz76ZLNVgjbOvvCbykx2zSlXGmdP/1fji5b8R/vHkL+ANR0+G4sA534EIaAsGZSi0VQrAINnw/84mu1iGIf7vfP427hwG/W65QsYZOH5yvL47wot357dMnhfVFb73b1YSQC/OfhMRMnHdq6wjEK6pUgpPdb8WO9oC3e70Hr598gdiwLPnEUk13FudLImA8yRZw5duHdhFTNQAZdenGpcZ99tVY9lSjUwyzq8TC9e9q43b8zUrnXxn5jeXGmdV1Thzi1ygIIW9jXf497o7n4+kGpGPc8O1W++k6JWBcR6mm5HlFQY70XkvI/hyKyx/IQZY+QEDMvbJB9AIHk9z/xHFUg1qnwtyo80AnB8yWy4jpJzGNYAQXlhX91saQvdYqYZbcG1ISU2wRJSMc2HItfxuKg5EjXWUwW4bXJuxjEsltdaLOgyd5VjLtqOTGucBQjvsRCnLLF8J9QEXD59Clihk3PyKyGecqQHYApjJOPMzD6WA9eCkg8Pb/n0ZTS29ZYvtNAmuGlaqYUm6wrj24BRcf6L7hpYj1TD0QKrxqo5JbrxrAg98nSy01lXuZuSHRLpqWKmGwtQBZwakchWulYp9PVvs41wfDG6vfzWIWS9T4Ade+Cf4evN5//6s1Gh1IhgIhksphYlqY+oYT21y0OTwzAMeEeFIsH/GEEYrlGocN3g+cW1vfrHWAsfQGnj53hB/8eI9P+BwUwGW17Al3bH7A6LrPkuqAbfvEhq/3flb/r3vPfg50HTkzw2IOz4RAZ1Mo5NprCMA9GnaR1E6troi1WDd9jLjfmucl8k4KyqQjjhVqoBHvi68uXu1sSgQCPKARM+5LydSqlFnnIEAkPbOvcu/17rxybgBiuj+Y2zKI4r/+tvfil4eGOdhuhkVIGFGKnhSlKdeRPH4Va3YX1ZIXXfqxlkguETIOI2XMBVjpGQXYKVKgbQdruO54Kl+xcSMs2Xv+Lj1WgdmJDuLaJyJANFwA/vX8ZJb+MsiZUOhEKzJxYN/mzVziB/c+mf4lhf/pe9cyPdXk6zktCELVBcZl88ShiiSySwjIsa5DGNyopWd8x/5ev/apcMvIaUcaRLgE/s4N2mQAcQ2lI5x9vM9M85rQUuvB7cbz5PBsAyfgQR5pxeAreucVMMYL/ViwB8VB+L0LbcJAYMQKCJyXqnxADjPiHHhpBraacYMoe2kGoAFTrZzoN0+uGrYG1fBDvSpszLjYgwOXdE4z7KjAwBSCua7fgKDzAKeFk3wP5n/3evfZo1RhggdAdImuu+HdAX7EMoCQRrePfNAagg4EtXsqywOBMj6ps6Ja7tDXFlvz99o7hHstd4b5tg5mvgUl3a0GhcOyslz7v4IyAop1ejO3Nb69gK/3v0ujNqXAQDnyx1sPvlT/txMZeIkENY7GdppgnWIa5+sIS+dHjJtY+oK0zSVwORwJRrn+yXVICIcjJbHOPemoagOvYvAuddbIAUAw7tR62QOBjVEhETr2feCAM7DxgYoynmsEu5eDky3fvFjwR4LMYi092B8wE6WoJUH67w6cLZSjepp/t4X7uD57SOcJhINL1NblVSDdaWZK9IG0FhfsGjNQfSZUVhoTJI1KNHePmKcyWYjQpt16apB9QWjG/uPB87ud5NSjf1r+IW/tC47CgHsFMYWojc12SIKUo0fGP8cvvno9/F1N/8DvuPZH3P7Uf6cZ0oLThiSOLDj0hJ2OvNYNuOwzFtMFgceUsv/3UodRFq7jEHf3gOpmaK/83lPyPBCgeUqxxYHOsY50fByUKUArAfgnAzcPVbZTRMwZ1zBv0vINsDvu3AuS9xHAoizy7QkxllBPWCcX83BjDNPiIacq4Z7KBQQdQ5kA/Q0YSmHEg1UyGugOJRCPAG36sWBclww5x/Dr3ztTwP9KwCAy9gFnvgPc78DIS5IGYsUkXbAX7bd1sN7Z57wDFEMnIkwXKkd3fzztYzx2aYGvtbePYOCToxZg0V/NkIs1ajqXPl4ALxl0JDaeOod/8i/f/GJnwSmQ58WrA6A3/q2y1AKWEMs1SiM8cBrnIXrrkb3lp5aZVB/P2JS2MzOso4nJQ7oXwJ0EjsrjG/WPsMyK1s4PGfn09kaZ8Bde3dz7Vx8H0ok9vXbn0Pn4CV/nSK7MdFwhOspACAdC+CcbGIUSTWaNc5n0b0mWgv2a/mRG0LLja9ZGpg1e0/HRzzN96BxuO7TdC1uHS4Y54fKO9HRIsa5diZC40zHaZwdUL/wpvDiznMYuhoR6e5TluQL0auPLsG1VTYFvm36R/71t+38oZXoeMZ5eVcpIg5otTIttqNbJuMspRoHJhAtHjgD2LkU6k02X/wtP9fbYkyeA8i3uY4i0jjbeVhr7j7smqZEwHmWxrnu2iEJiqxSsBqkppYE5EwFv8+xLODczvQD4PxqDmacuflFYQidVPtJkTsIMiZjqUYr0a4dJzMkwa5MFq1qpZCVMeOsHMNYDWYaDnqvB77tvw1vPPHv505QRLFUY6T6ApQ5xwthg4PR7plX8USoSDUws33oWYMnpPnnc3ZGRanA7AaNc2DVeBJa6KcjICvmSzU4eCFVGsK1N3yPd1dJ8kPg2d8DkXNwqBz4g+98CETAmrCim6TrKEry96BshqFG95bODt9PjfNgUmC9ky3tO7SLkFZF11r37beD7nRzcqv2GXbXMYYZ5+MboAxrUg3y9lEEoGz18fTGN/v3zz39/wipRpVxtvFbnw2gPpkE4DxINzFON+CfhvEeFBWNz8Zpr1uiEbJwK7j0eWE7ZwJsBRd0vE2M84k1ziORTk/W4wzgxdCI6pEytvKTbkTG1CUiPPZ3ZYZxhlSDiJCfD979uPssBhMLRJSQ8pVkFxHcPbB6vNwYXB48jb6QawEAbn7GzyfLbFLEGUxg8ezbaYMJqpUVB0rgLFbBtx/5Tv/35ud/Fh+8/SGcH74kZJjBqrQWDRpn7gTKEmesBY1zOsMOk1lkGdLRg2uqAC6iDFJTzmikjq2vL/7O/nt2s+RBceCrOWKNs0u1ZYlfTXLalLWuhWM9skT7yvhpwRrnwEhzaIUacK4yzvx4cOpLKwW8+3tQcNr49ud8g4OmsK4aMl1fTQ3HAEqPds6ucQbhaBLS5rLActnBlkrztzmjPRYRsk/+K/x3V38Ij1z9VQBcFCgGMR6EFvjtCPF1r3aPkyEn7iRt4YuX/np486nftIx3xfossNAUM86plWrw/SUZZz3eXb7GeQXWhrNiOC2x0U2XxkC1cwmcLUsrPZA3GxlnFRhnNSeNfExxoHLFgeQWZ4+fF5P1M78IU9pnK6+wQ3w8+RMkozA2DJJzIJVgnIaC4K7QQHM0WbstGpZMqLeGXlYwEcHuAbnwq62xvKdZuEkdaloZj8+/EaTsdHnJbCMtgxc7VXjmJs2xIUKXFpFqAIf9N4YXd57HaGKLrWXRZWEMWqnGtDQNz5llQC+M6oWsdPPTQuNMjb/daUKC+kUygWcJ23J7ceA8Kcr58xpRxDjvl82M872H3o/p5mMAAFVO8C23fwZ//4m/h68d/bkjVoKuuH4S4bnneZhBLhcES1cNHN7B3aMJqtEo1fBZnphIYWtMQ+TnYQumde0aNRWRnia6WfKAcX41x9i5akhg3M0SnyZhxplvtlAcqDxQzF06jQdOLiAAgHai0WpogFIFevwnFx2hs4nrnVBt/+jhE7O/hJmiRbYJQAntCwGBWYzzvTMPoobiQq2qD/IyY5FVMgHeMvA08Y7t30X20R/FI/mL+Jon/ges5/c848zXitnVRX47QxRJdOYVB7KLAmc+nj73H4WNXv4zyzBUQBprFglAn2I7usIYz0aMJeM83l26VIPP+37EYGoZ52VN1p2iDpz3JXCeBODMR5SSLlsXcXwDlGHl2vtiHjfmKABf6H8TdpV9RtPBHVy+8wkATYxzYCI59EQUB2orDZDOGt1CSFL4+4gJ9Ys3D2rvzwvb1dKsrHNgXoY0cyaKA3nslXGqBcBYMs5rcZFj2vatlzUI58bX/bZEiMBK9bhEQFmaGDg3SDUYqO+jj3HbOd+UE6wNr7v3w4KkNOTraarPGbt9nBs1WCdufcnLy5Yp15BZj0UIjbMEg79Fj/ELf3ENV3fqdQk+yik02TmrVClyhEW4ZJyRpPjwm/5HTJJw7RIq8MN7/wKqnAQZ3zFSjaljnLWfQ5SVEwpXjWRwp9ENqrE4MGKcg00fkSuidPOT73qcqBmWmWefpyXj/UqOB8B5RkxyA2PgW24TAd1W4t/ndJe3jxLFgYlSTuMcGOfqINXCFMpVtuUqA5LMpXtl69L6sQDg+f7X+P285uCzM1eKyVRY0ak+lFZin/a8ZMGQHu6cGeQaIp9aBCCKEZYf/Lset81ZvtI7t3/b/52YHF+z/WG/OudrYtnmxdKTRLG2fTKnOJABSOmYg1udN2OqHdjav4ZscNOm3eT+EcB8T0o1tGOc3Q8WZRqGOysp5rlfUo1xbtBvJUsD6p2IcbbPx347FGzN1zhzN8nmc8mlHKDSepdcJkOrcN/mSPCJ3l/z27zu6q8AQK0C3gM38RsoCZzdZD8Wz3s332tgasO+futz9e85L3jSlJrrZUZeGt85U4uxjCVUMqptyBcJEs1GpularS0xLgYJxcXhC/YziCVjTWwrEaDNGInrOFioFpC2UA0+3uE4x9H5r/KvPzp+xr0fiu6KkvziobroTRPLRJ8bX6t/yb1rPmXPEpdljM6cJQEWk9CdJaxOd/HOgS/fG/qCucYQ8+RU90QGOWacAYU/PHgdPvSeX8Lht/8zL7k4Z/bwNQcf9c9/7fc0Jmp8NHVZxtR9B7+9cNVYy3dgGiSO0pCAgzcjIHL0MWSPYYyV5XBWIE20l1VxnOVqyUwI//uVHg+A85wIMgM7LLfFQ6QqGmfWwFalGlZPRP59vqmkowaDp1muGttHE3zkqS2/kr3eCV2MLg5fmDlBpIWo4Fe9SPrBE/1IMM56fK/2UH7kqRmth2cEkWXrOWQB5bLDTlrHMc4zWqAeE9fuDVGWBg8dfSl6/dHDz0aTDf+Oi7DffM7HuWrwvrmAEwQkicLUJLjRC36iazuf81IRv38KBa0x4+zs6GYwzst31bh/wJntqZYF/js3KZ62AAAgAElEQVSicUiQaoQ0qmScORjs+smKYhYOcPrVYdh3ns6Saii/KDOG8MTFv+m3eWjrE0A+rnT5Cvd3JPUS0oORttIAmWHqCtcN+Xl+piYntJVitqvJ5WMZkZe2e6v1yo7BahPjfOL7byxdNdYj+zcAUA+/2/99ZfCU/1vq2ZsyTwSgJeoapmkfTcHHOxgVmFwJ5Mibps+E98VxslQjN3V2t+WY6EbgvH/N9SA4PmP30ae2Zr4369wBvh4rBM7GPe8LHuPle0Mv62kMIZ+aJl2XLbP3vpzz2Q/5KD2P/Ot+CI8/+g/8e+8++jN/H9bmO7H/IbqATtz+lJ8flQLQ6gFtOy6nKKDG9Qxw0/6DRCbIMQAp1QgZa/bArnrNn5VgerXFmYGzUurtSqknxP8OlFL/uLLNtyql9sU2//1Zj7uq2DoY49b+yEkxTORa8JrNWOrA+iTAMc7ktMuJbc3tfZxRT11H6Xq3AlWqMvG5/24fTvDc1pEH6bfab/DbMPPRFFo8sCPdc56OoQGLIcK4FSZSNaoD509fradz50XVoN0WS51oFyc61iKM82niNz97C889+0V0i1gH+tDRl/yqnwE0kSsKWvCcU8k46zpw5v0wM8SMc2kI2/3AenX3n6t5VBPgq+b7JHR16XrUQCLSOI+Wo3GeFCWeuGbvF64BuB9B5GQCS5qsm6QaB6I4sIlx5mvFgLc0plZd/6FPvBh1jcyTBsZZif/Bjiv5xbd5tjMtR8BLn4iAgATo/ic3JpIeFJkdY6qMc3WuJLGPk1bZc3ZulVKNdppEbkeAazle2fZUjT0ijXPd5Qiv+Vr/Jy+ouShOFsbxgT/8xA3PCLfLmNVsCj7e4TiHEcd62/QL/m8+n8JwcaC1o5NpfW67vDatO6eoo9toq8Lfq/Ou0+NXZ9fP1Par4t9g9VKNxTXOt/fH3oGlMQTjnOuuL+YEYsZZuSwyE2rXLv1V/97bRk+AyDRqkCMLStX1c2yiFcpSuGoAkVwjG26jGiwFkyFbaEsrSCLndGOC3I8X9rr2+y3HlvDVEmeGNET0NBF9LRF9LYCvAzAE8KsNm36ctyOiHzvrcVcVB+MCf/7Cvcj7kG+vH/iALQwg1NvKlsZ4JredWtY5L4JYv6wMUnIC9Z66osBCxo98y5s8CAeAu9mjyGELBDemd9Aqmn1X01ysdHU/0vpaVgsx4zy6N9NcfdGwhXNhHzzIrIqBWJXlWVEaDG98ofZ6r9hDf3zLX39Of1n25vj9EgFp5KoxpzjQAREe9ApjcK/3mH+/u/cctFZoZ+ExDmw4oWdiOzrZslgC52RJGufRtMTjL9nJ1trDnXmXCwW7iyxNqtEAnIfZBcCBz3Z5BIx241oExe45DJxtlkA+TftHQ6Su5oCURpnEGmfrAGM/oaD84vbvfv3rgLd+R9jupU9Y0OO+r7IfBiAWK9Mj70U9TXrQSct9D6FxbmCcITIFJ22IkGjtGfNVaDWYcS4Mdz9jwNDUOfDkGQ8VOR+s1SUnr32P//Ohoy8BhbuWEF3zRDrqhe2Bvx5NREk1OON4MM6RPPYBGDc9vyV/Gp18L3IrkRpnQ4Rf+XTQXKeJRl6U6InC8UF2IXwNteOzI0Sz0/RzwWYlZJbhVIWZJ4jSZXYXHV8sybWYVGOiLbBlsicCzght3zuZxsNvfa+XvG2YPbQPXgoyIvn9K8CZb5DEMc68UAYQWdKlg1szfJybNc4g1OZazsz4DBbZuqtqbcxZGOf7Q498ecWyucD/BMDzRHR1yfu9b/G6C11cuzf0ejPWKMtgxpaZD4AZZwuk2mniV6dc4MWsJODS9RI4J/OlGu967SbyQnQpVCmuq5A6Pt9UBAIgzWWXsl5lorcDnGSckybgfEIwUl1xl4bQSZP5qbJTRlOKtilOMx4UhpAdNWs8z49f9iwf/3feBFSNeBKtFwdKqQYz29wRar8fbLG6B88hUSouYHHSFGNiK8JJumYLidwPJrXtary7FLaWQT4QChvvRxCwVHuqWKrhfielIi9f7F6t6fqsJCt89+qzlIgFU5n2kVRSMTXG2cnB3vmajbjt943Hfdc4PrXAOLu/pF43WfOZCXndm4oDZXGb7Ei5SCTa/q8qUVlW5KVBO0tQlqwjt683LZ6bwPSxIRjnadqvZQBx7vW4oy0j2C4HwNU/wZWjp5BufSGSKfB1Z49lIkSMcz5DqmE1zITDcYG1c5dxe91KQzQIb9j7s8biwNyY6LkDXIH6+B407PUb6jXsdUMDl4exIxjn2b/RScbsqp/8KrNNPC8vOmbJZ6UxIqlGz9YoueclE8+otZi1lp6tRONb3/Ew7qwFLXpv9xlR4yD2L4DzAGEe1prt6MQCW4wxraMgtalllERIV41Eq9j2VhSYM3DOElUDyYSzFdG/2mLZwPn7Afz8jPfer5R6Uin1O0qpd83YBkqpH1ZKPa6Uenx7u56qWHW008SxuzZdwwCzekuxTkz6OAN2Am2l2mqcS4M00UGqIUZXqXGe+haczZMAs418LCLCLR1SOhsNmksASATjPHZSDd47pxgnWUXjXNnHSVgHe25xVbEhQqeVVDSZywl2K1lFFMYgGza3PT03uu67b/lCGyw2UVvGWRYHzrej48mbC68O+oJxPngJiQ6syO987hZu7o2dqwZFwJldNfg+HSXSju7eUlKr8h5XannSiWOPa5bbEKEtAC464XdiVwUAwF7MDbDGmRkktrKUIZ9Hk60hqeRcyaVLFZQvOuYxCI+Glr+4+Rl0ksCiSWbUa2wlCMzW/Tg0SmOpRjXsItAxzid8ZrVS/n+ryATlpUE7tRpnm41hxrlJ43wK0lum7JNe3XlAKTzeFguYn/tu/JdP/n1c+Llvxz/Y/XHAZRX5qnNXPwJFGcbNcxfQFDyWjPMS3SzBi+eDh/dju38SySFKE3cOlM9aqjXaozB3HqQXMBKM80V1IIoDZ6foyxOkjOx8wozzchMO24cTXN0J14bt6BZdGFmXkXnAWcpouki08gvNmHEO0hie43Z6oVlNb/9pO75XF/HiWRyg639vLuTzGmcAOP9Gv233sE6I8ZwjI3LVqGTCOfvls5bO6auuk36gcT5JLA04K6VaAL4LwC82vP1pAG8goq8B8OMAfm3Wfojo3xHR1xPR11++fHlZp3eieOHuAG9/aMMVoagZ7AmDWccCc/GfUg44W6kGp0RKEzwzCUCrlMDZMs6+c5QIgn0Y8jIciwDcUgE4NxUrAbFUY1Sp4GdAFgPnXWjEg+WJ052Vh6801tvxpGnfRYJOkY5dNIqS0BmGRhdbOtyLm+PrgXEGyyNmjzp/8WJImRqKNc6jBo0zh1YQ6TV7D5TdCygcY5UWA2zg0Bew7A5zjPLST7BdI71D10PLbdSlGsv4HZl5B2yKcJUFQtXjLlOq0SqF9KkdfI9xXgDn3Qpw9pkllmrUq9/lgqnM+kgq7yda+UnUZrXsEkgpBWw8AtOzFmVqeoQ3JDueEVTit/ZYt+IQkSV1xrmX7zYWH7Hk5KTFgTwhC0XBUsNqnLUfd2URVFXRfBpLNJUL/bnu+gWojD/sfBCm4Vn/4OA3gOf+EIQAbKaF8c+E9NPf2Dxf+zwAr0GdlvZ5f+n8B/x7b9z9JDSFLoFW4xzs6ORCJUsVsnEAzvvJxQg4X8CBlbKY+dcpP8EPKIHYsgmNG3sjPLclFp0uA7fouk62oW6MilSDi+cA4OGNuK6pNDFBcrcXMoC93ac96xsDZ8k4B42zfdaVXywDAM690W/bPgryG/51CZXfWtznhAaphg7Wg2230EoTVSuYt0X0s36gB1GNZTLO3wng00RUs2EgogMiW6lERL8NIFNKXVrisZca/8X7Xo+/8dUP2wKfGSlnrYBSrNLYS1QhaJz580BFqkGIPJxzL9VoBhtaxw4eRIgZ54ZiJaBBqlFRORsCKGn5VtyaSmwi9o6cO+A0RI35MbRi4LzAdqfYd2EInVG4lT+ffbX/2wJn5dOyvP9Zc8XHnw2TGCEGUNN5xYE66F2ZLcjSBON+sEa7XNxBO7VV2mz0z64MkVSj0nI7dlNZjsZZpoyZ6bgfQbQcacjPfvIlAEBLpNUj4BwxzpYN4ueJF71coAOgZsMote0m69cY58RWCdl9qsBiuwOgvPg2v+1b9A3fkVMCVQ+gxlJ2sO7PRbqptIuDRg0lT7QnAU72/GN50bKDXYt8caD71sY0+zhX74c/fmZ7/n0umcek23gPv5C+Gb977vubP//nP+lsv9w+SvL1D5Fnf0PzEyAuDldKYav/Nkw6dsHeLfaR3f60f5/9eHPXAIWlCPujHJnWaI9DYeBBeh7jVgDr53Hgs6DznpmTdHyV13zRcXnRqHaGtC46iz/vLHObGUKqMdFdJInyz+YPfiBk+JRSrolU+KhknLuHL8FQQwMkAZyP0POzcKq1tZ/UaGacj2LGeZyXNSkkUcAMROQW8OF9rcKYzA1zUt0g1TiG/DlpfPSpLfzu5+sdVl8psUzg/PcwQ6ahlHpYuSWOUup97rg7Szz2UuMDb7nkwKoFL7/x5M0oVQQET0ReubGrhlL2BlVKIWddkUuVsGejIYoZ56Tn9zlrwOGOXICdJG/rUESwOb7R+Jm0qDDODLwRWCqtgMMsrGEuVy7LWcBP6Vwcuq0VAecF5RGniaI06IyCVONzSVAXnRvfCL6lTl7DHtyN+xIXlYiilttNwJmDGQmtgkduliiMBHD+m6/L8ZBzexnnxqf2k3KKzBWiFUhQ6HYEbKdJH6Vytkj5ENoVOp0lCIHR1ktkgI89Ljmj/zMe786B7QbXlsW2EuRIjXNFquE1zu6ZatI4Z2K/ZWu95oiSOPaJ5Q5Vja0RwPnN6qbQOMdSDQAR45yna9YmE3GmoeoYA8A7Itjx6uTFgVbjvBp9O3mmkaJFRZMso8nH+ZMv7NRek+OHZJwL3XXkSMzEERF+/cI/xP/1zp8G/u7P4uf/ys+EN1/6BFCM/JwQGGdCp5zf/AQIxeH+cErjzpXg3NB+6Q/9CMMaZ84O8ILpQx9/AVordERh4GFyHqOWZJz3/eJo3iNzIo0zpNZ2uZlAcv/75PM72BtOnVRDLzz2p8c15ZCMs+ra4rkGZKTgdOtinN/rPOr/7hxdgzGmLvGJgLN01bA7jdjfC0L6cXQVoNDk5//42Avej5mDn1f+m5uccLDlnYLVZVuLXF1z/iD+gqcImx2LX/u1J25E/RxeabEU4KyU6gH4IIBfEa/9iFLqR9w/vxfA55VSTwL4VwC+n+5XHveUwTo9rayf6e4wr7wfD8zcFVC7Yi2trB4q0SF1JT0+s1mM8wzwJbVNRBRJB9amdb/N/WGONBfuDdr6OHPqhgc6rRQOs7CvyxRbEJ108pTxq5+5gZd2BuhkCablah6iRW6i04wHuSF0JuG3+Hwa/JM3x9ehEa43MF8fJgcyApBEhaH1QiHelRYpe5ZqtBKNUS8A5zUH4gHLOPMgKdnmgeoBSkVdnZRWEfvYK09mO9gUkv2YlT1ZRRBOZk81K0oDoJh454sCCZB1/THmSjWU8pMYA8fq5JRVGGdd2UBrl7pVoThQfiO6FIDzY7juO+f584MAQkJXmWcBpMtrHjV64f04xrk0dOL6Bsk4ryII5JtGLGRHV7kfGMjK+KmPBztPlUvGueeKbOMFkCEgSTRurL0beOffwe31dyM/59L1xRjdO5+ONM5E9tpI2VSkmxfRVBx+7VLoFtp+4Q/8pFMYg8xJtAzFlmQKQEe0Ux+mmzXG2c9HAnRVIz8Ba7JKH2fe38v3BjgcF/YanGBhnjrbvplRyTQkWtWyQUDoFhypMNJN55RhM0qt6W59LBKM9hF1xfiufBbYg+H+RZCTZKXlyNcvcfe/OuMcsgZNmbdzR8/jLUefQqJci/bC2OLAyqw4T+t+mpgtcX1lxFKAMxENiegiEe2L1/4tEf1b9/e/JqJ3EdHXENE3EdGfLuO4qwwFyxQmyoKNw3FeeT++QbloAADamWV3ipKQ+L7w8YpcMs55hXGWEw//Kf0bCcCuDgxCk1/nhz7xAjLZAEX3PXtZmNAyWitgXzDOlyhmnBdtn/mLj19z3yG8NpwWGE9LdDKNabEaBmpVGmdTTNH2tmQK1/EaTF33tZYZYd3sWU074qKYpoiAczFFYty9pBIUKqttz1trd70AOyDmpR38ht3gqNIaBFZ8UhjPgsuugQNYh4CqhWIMnE/WXrkpSEzgJ6l6P2tw6vas0pDSGNBYFvL04hu6UhyoKCwGmWXmLA4DaBnSTcW01mqMc6rt9VYqFAdGj9+FoKd8LW01AtvAOIeFUJ4FqcYkWYOBzTS0zBDaxOMaAz0p61k0Eq0t+MeKpBomACbpQ9tsR1fXOE+Lepe9naOQaVFRcWDHa1rlVSJQzW5s8mgo4utufcaP03nJXUaAbiTVEPIfETXfaADXLnwTCmWtR9Otz6HttMvGhHbQ1jUhfG8gziYMk01MBON8nvZhzHznEV48LRxKzm/Lb7ktmVVrRzc7Oxt9zmWjFnXVmKgOEqWaGWcF5MbEx1Uqyv6uDa5Fba/tTsOYcoiuHxcSJ5ngZ53DXH6H//vC8EX7GoVOj7GeXDLOwf4WAN537UP44B/9Hfyjl/8J/jH+vQfOthah6fstETrfR+Lk/4940DlwRviuPg4AHE2K6H0uwOIwboBUCmglCbSTatjK2dAAxUs1TL0RQtPAKfcvH5gDvQlyqfZOcQDk42j7kihKDU903+mpVAT4lFI4SAPjfMlUpRqL3fwv37PfR57+OC8xKQw66apcNbAyr+BWpe1yAY2DbkjLXZ7etO4HzmtZz1lhR6kzUbCJ1lrNkkyGLx5RNkXNwJl1jwCQDUO2wbaJtwyZBM5Hqu/S3GLAJWAk0va9YgnAGWECn2WtuIrg73ZWqYYhwEjgLBxPFAB0z8H0XW1BMcbGOBTv8Pf1jQZMk1QjXBPK1moaaC20hwygo8lnU1iKme3gqiEmKf8bjCXjvBFstZTCOAvArVORazCDZczii2aORNmiKqk/XmYYImTuOkv3AAb78bb1sbSJcZZNXqLiwKQnvNrD9kS28FWCjOnl0FGwfe8pz+bZ49lfokeLaJzr3ufTpI/rvSATu7T3WQCOceautEKqwYtVeV1H6UYNOAPzva6JTmYppxDXeiyX0CDHOgf2Oa2C01mfJNdJccHiwLHq2QYhDSCSybAqILyTBODcH97wc74PKdWgIM3jRaYkSABACeB8efAcAPgGW5JAi74kAEjGmQjfeO3/9Jt8Nz6KVgJMXHFgNS3k+JalhbwfXonxADjPCOW1q3VrJUI8WQF2IOP2zuyqUZTGpSzs4Fa6AV5BIROMc5GyHZ2qFUL4CVFINUCA0gloLRQI4ii2TisMxa4aiWUdE8XekcyKxYzzxYpUY9HJs2kQG+cGk8KsTOOMBQdoucWLdwf41AIdsdpTASh6F2GIsC+A88X8hpNSuIGqIt2RIScgNZUT6FrjAM2hNfzAmiQK09Jq+0ZtAZxHAjgXpU/V9oRUY+gAIA/UHDHjXNe7njRYbwnAg8f7EYZmt+C9N1hcu00EmFEzcPbHuhIkO5cGz4X5x40XvMBtlGpIxjnr14sHdUih8mQafaVzAThfMtsoisIdWkoJGDiH61lUQPo4DcC5qnNm3etpGGetGfAvtziMg2BZbdsAJTzXpakjZymL45iWpvaM+gU9USTVyFnjbCgCyalwPvH7uBi8fDv3nvLXfeoK94goWsiiM59xlqdoDOFGP9xzF/c/779zK9W+zwADZnJjeiTVSDYxbgfgfI4O3Lb1okp/XDqZM4argRefX/ijx4Y9jSBVOElxIAFO5jaPcZauGp3Ijk5GKA6M97UtZJPd8R2XZZaMcwDOh1LjXJFl+eO8NnSNfO2hXSiVJlyTSONM4bc2hFAcePdZLzkDgHM4wuXBM8gLg6yBcT6LqwahPvepyv3wSosHwHlGKCdp4NTg+4vHgY/9r7g0eAZAvV+8dNV4x8Pr/iHTVrgcWQZpFU+iRRKAs1wYl4bwrkcsuIk0zlxN3hfA+TAGzmVJaElXDb3mNc5caMgLg/1UAOcq47ygzrFpoBzlJaaFWZ2rBmYP/LPiYJRH6dlZ0SlEV7XuBRABB52gLb6Y3/ZssGdaFigOlIM0Wv1m4OxYrphxVsgLyziP2hf9pqloyzopgsdoL9I424xGwqO0C+ms0V+KVEMUB6r7WByI2Yzzz/zJiwunDAkEEoBzgAbgfDmApEuD5yKgC3AWJ2QhZLSOkWrwRMr7s6xNOPeks+Y7/2UogEPr+sLHA8QENqkyzhI4S51zhXGGu45EJ2acUy/VqDeNWkYQVTXObhykJju6Zsa5Gt5yr5x66U2pUhidgb3I5WVMk/Ad/T4uvN3/3dl73lt6SmmIfB5nSzXqv5sh4GZP3HMHXwTgiBGtXYFgeO54julGjPMmpq1zYNHJBg6RUFFj6j/8RCgy5+zJoqGkVGOOBOQ0wcCM3N+lgXNXWeCzRMjSYwqHI8aZNc5NwNkuKKu72hGyye54q+6qIbNY1PH3TuLuo8qwDPX69/u/X3vwJGCMlx5VM8/S+o+lGsYQcO3Pa+d/ee9ztkdFo8Z52Yzz7PnwlRAPgPOMkMDyrYNP40cHPwZ89H/G93/2h7A22apVvLNPs1YK3/2eR4IdnUvh80Cu4OQcEjin7OMc7/MHP/BGfMc7LTiWzVZ4UjZrzcCZ3KQnNc5jr3GOtYFaAXtJWDHXgPOCA2Az41xiUpQrKw5cNCUYaxQXWwh38wbGufNa/9LF/FYo4CKqgQVuPQ3EBZaqItVo0prxfcTsHS948tKgnWiM2mGhk0aMs/HArdvAOCeCcVYqdljom+VqnOfJjpYdnLptulc5vbvYfgAjgPNRA+NcPBRsCR85fNIxK4R2EZpKsGyjuiZqC3kWtdZqxYGyIMkzt7ILmFI4bAd9u94PlniyoxyAGuOcOhZMq7gotFOR6DALeTpXDWFHt4JJkyi4y9SL0eJtm/S7k8LUzssW8FEEngpfc2KBqAQZiWY5ijhWax33HHhSVOAy3Q37hh0jFpFqaB3mCPk9bvdCUei5wQvuO1vGmRcSfN2DVCNc13G6AaUT3x4aADbo0APu1I0LX7oV5gvOkC4aVVvOZT/75HbM0pRFi4EJTqoxtzhQNApTXWRazywOLBoY5x0diIzeZMs3NvEhFrH7FDoHztI44+KbsavsteqUh8Ddp8GFnFxD4b+fYJw9LiACdp6tnf/66LotDtSqcd5ZpsZZLuZfifEAOM8IBWacgfcNPuJfz8wYb935SE3DaVfCJmKMmLHmFEvoLhhLNcq07z8j93lxre1vZpmiIbKDbNEP2ioGztuHE/zSp65bu6IGxpkBDadTtVLYm8c4L8g6ND0kq5ZqEE4+QC/KhkQp7N5FlEQ4aAfgfCG/7Qc8To/K+OjTAdDKMVtVGOcmZqMkCs0w4KQaygLnLNWYpBswugUASPKBz15M8iDViICza37DAzWHnEj7S5BqSABTLUSU8Yln7+LFu4PG90573DRplobUuchj9jUJk+gQdavAQhSCvfbgs3hk/zPAj78Xf/t33o9Lv/VDUMXYs6F1xlm4ajQxzlq6tNQBqFbAYeuK/3d5cNttG353v3gQLFeZrVtnATeeTVsSOFc1zvaZKsqTM87Wjm6VPs4hs8DNQoDgaBRvW89GNUk1DDPrEXBmlyMVOje6yBIVadEBO6bc0eG6PGTss5+XIQvZlcB5hqvGrG6be51HULoCwf5kCxjbBiaJVshc8bl31bDakCiTMMo2oZXCQGSYNlxxsyFC4rIR1TH6JFKrKOuB5XoC87jCihy2o1vk/AyRa4CyGOM8VB2kyZziwIZ76J4O86cFzjpmpcUi9gB9/8vws6J45+JAT7dEc+WXP+kXglXGGQjyOEJoooO9a6jG+uCqt6OrzlfLfl5f6e27HwDnGcFFdIlSeNfo8ei9N937ePDxdcH+iXy7aPeQsacjdxYk1KUaf/sb3uqOiZmgzj4w9m/uTlX0Yo3zwThHXlqwWpZlVIw0TtYAFarSpQ/1fnLeV9pv0gFIFBourHFu2G7iigO7WRIV4SwrTtMdDFhMf9crhD1b7zyMAfYE23dhegtahcVO9X6QjgeSuasWBzZJNdgmkP8HBSSJlf60Eo2SFKbdkCXoO1eVWYzzQK1ZfbtgnIlixnltGVINhMWhBDbVOBznGE6L5jdPERJQ1c7pBOwXEQERcO7Ut9l4BPtdqzXOaILv+ex/BdyzLGD/hd/BVz377/zitEpaVb18q4umROuYjUL8GyqlMGgFdivfv+VfD2yfG4MEy1W2Nzwjn2iNvC3abhf70bPL8ie50F8kCEKzicXbIZ8kLAjSYuEfMmfVw1lNaPzaJK9nvYic+0Wl3TYgSAaxPXv8SmBAAO6IhlRXSiuh4eJApRaTavg0uwv+jjpJsdcJ+nbsPOtZV0/MsFSDgNQES8UpMhTa6moHabCkO0f7vjiQF3CTIvw+J73+EC5TTUTCWcI2kQmuEoYXygucHpGVdSzacnuEDtKkmXFmMq16b99LwjPZn2w5ZwuxzSjMJfvUj8g1QNVqTwDghU4oOMXVT1Y0zvH3kxIZXxy4V2/X3R+8bBugNHYOXLJUQ72iJc4PgPOsULDgp1se4FK5Hb330NGXXHrUBq/0CkZQsJNZUYaW3ZFmTMWMc6dnB1J28mgK4x4KgAcmhVyAJxzexk//8Qteo5gUA6+1G6ED0olzgZCuGm5ygMZAVF3TQej4syjr0LTZuAjAeSXFgQAWeTyp8vcic3pHtl3unAMRYb8tms7kW0ipjFhBuV/pIiIXH7IACe16uh7gotSQ9lawoGTqXDUMUeSsEYBz6a6XQkf4xg5136fxJFCXKfu1pUs1ZmucF70Gix+XZtrfGToBcAZAovL/SykAACAASURBVHhz1ACcQcDzD3/nzH28/eWfhzZTlFR3WpFOOpSt+ba+HBKQ+exA5dSHWZikDWucIRjnBqlGmW3Y36e0jHNecVORv49nnE2dMZ8XCnbhz+B5FYyzH2fLWKrRrHGup9SbGGcCIS8IkIWBgnHmRSwHFwdW0+WScb7iGWdrR6cQ20POkmpIn3UOZhjv9R4LL9591kssUtcERUo12kKiN9Br3h9ctlvfpH1XkxAkQtPCRAD8JMBZKzkfLtcTmMcLezrkM3KLPtdpopHPddUQRfTooDWTcVa17AYB2E0k47yNRFUInYhx7jXY0dUXGtc23hP+8dLHYVyhafV+lNZ/PMYTEbBfZ5y7g2uY5iUy3cQ406mR86yPPZBqvArDPiQGF6f1dtad8hDp8Fa4MSgUEfLEp5RtosFAlcX9do0JpBH7ZFPp3NmnKeQDw6z1VDLOh7dsIwB3HGlFd6T6XlvtmXEV9mmIoiYo5iAUiSzacrtpEMtLwrQwaGd6JXZ0p7E8W5SB7JVxwwJDQK7aOGrZ30nD4Ard9c4H1RW2ZDhsqtH+uyrVaNKalc6vlluxsmyD7eiICBOxaOoJxplTy91Sdo1kjXM8QEupxvoxwPnn/uzq3PcBRMyXnjOxcep1WUFgtq7pvcULSIkAmh7DOIPw1KPfB3TDQlN2gmsVR2jd+lRtggOADoXFsmmt+RQ5h2ScWftYBYSScU6FFaHXOPPmQqpRtNaRJco78xSdwDx2iv1owSHT4U0yonlh/WHVqZ7LRYIcO8p2dIHVayqqa5BqNGicidwit0GqAbDnfdjepvFjpGOlGmEsfqi0Ehp21ehgihSOzU1aQNawIEPoiijPkB17ZIc67F518iTt/IwDO0xEaIlnf6j6HpwNM+GsYfYsEDOBcSbAA0yrcV78ItrFkiAQlkk5u3NjAopcJnihzxHQStT8IveqVMPdx9Xgl6r39lR3cOgKiRMq0Cv3w9hXTIDCPvdGJRirTpBqeG1zvVhvd+OrME3dAuvwFi5Orvpxc56ePNUKVEyAI7uoJpVgqpysr5xATfYa7fYIy5VXVGVmr7R4AJxnhFZ20NycNLez7tx7OqRIIItW+POifSqxVRWBx5SsjJlHAOi3UwymzUV0stiIH55JVwLnO77NrKHYUeMIoSAhSAtUYJwJ2GsJvfRuSPMsWh/UlJpNte3YlCUa+QoY56pV4B8/EzIDWwdj7I9sc4fqELEIcO7I1Gpn02vMDoRc4zV0B5yirBYHygUHL5oAq0n2sYBUQ0F5QJUXtnNgaYCJsKTr51aXzveYAtAupcbZ3l+J1pELxCALAGrTzO8c+NICmmRCGMQTNXuBQgteg0XDt9xu2ueJGGeKK+zRbjgWMOlcBH7wt/H0+W/BM1e+E/iHf4CXH/s+v03r5T/2Gmd5dbvimlB7o8FVI8ixmLmtTtIDwTjzdZcHISLb1MRN1iU0KO1ZZtKBpKIdrruVasS/ARcXN1lyzYtEB8vDZU+a1+4NfXGg9dcPC9WmtDADLBnW5aK6HTVINQTjXLkAqdZRcSCP+7eV6L7qpBrcnrmP45uf8L6q3fp4rD/shHEH+y977S7LAoLGGehUGl/xWCIZZy4OtJKikMlk2zYyp/Bxdpt73e6SgokHL9U4QTbEdps8rgGKGCupgyzVSGcUBwJxFla517dVeC7XptvhfhQL2Gm6bsdfnos1ZjLO3/eNb8St81/v//2Wo8fD9ZLPO4S23D0f7XFoiDbtXMJeFnBCa3jHF4NGQctZ68hf5gHj/CoMTsucG9cZZwBo3XsmShUyE8JpGGYigZBO8VZdQCTVQGYZ5347wWDSrP2Mi40sOJLpehze8iyLIUSsw5Hqh0Iz51HJDAG3B95pCw3dvef8n4syzk2ghQesVroaxrkKLKSTxWev7zcWoC36MPdMnXGuOms8TFsVxjnsPI80zkEXpxYGzkGqwdcrL8lLNUYNUg0obtigIqmJZJyDlCgGYefKe3N/nEU0yUShEJILq5qCWc1lBVFdH+rfw+KeskSI9Y6qXhxomRkAV74Kv/zWf46PvOufAle+CjtXvslvk9z6tHfBkYeO0/UbtWtvGd6wsLESjCrjLNLCUwucJWgxRGhH134NWms7PnGKuxMAVKc4iJ5dHj/KE4CTcP7ag4BlT5r/919e8xrn0pio+FTxiYuQi1WOaVlvgGLB4myNc/V3SLk40F2nzGUJbyupcd5y52Wvy7oEzjM8nO2+4joZe352LNgXC3bsvQxbHKgbpRpy7B+IsV9Ks9bp0H6OJONMnuA46eJWq/q9uqyQUjgCeRnUQp+lY0B8WQCFrekxUBhSC49d7OG9bzhX25T3U/1dFIBtBDZ/fbodxiIh08izdU+GAKGOoeaqAeDNV9Zw4/z7/L/fcvQpn01WYvuo5Tbs892ehnkw717CfhrG+dZo21oq1hjn5cprHmicX6XBg+aGBM6ic1d2cC16oBOXZlP+83GxhJRqpDSFJpG6S20qpZslGE3LxpVfVeOslcKkdQ7GVVtjvAcUYzvgmVjnxoyzTfuHIjFmNomAnXbwKFau2AlYnHVo2ixzDMo8CcpZQnq5Vs/BrsRnAanjv1O/UgXP129fOGs8bO6AW5dbkBM+IpkjCRT1VBYH9hu1dOwaYEGI8lINvgeICGNhSdf3ACqA7naUrl0DW7bxraVgu5KViU0btzEFJgczJ7/BZBE7wTCIqwpb92ufCZmbJv3pWcIWC8Verc/eOcTuYOpZ+EWCgIqna4NUIwKZ4Xk/PB+q4JPtL/oFjAy5GGtknCtSDVn0xyGlGrxgkocpK8/+KLGWh3ysRGtQJ0zynXw/bglPwY4uTU42lSbuXm0677NGYcgXhRVl7KrRNElXU9hAc8ttQh04F+6ZaPRx9nIU++8ssbUHd4SzwoVyGygLf16LWNEBzDjXFzFaqSjTZYGzZZxbrlgyuC4QWrLxlWaphsI73vRG//qGsc+6MUL2QGHcOqnGWa1InsPnxTp2Zp8bCOFZH53PpOZxYaAhYK2T4jWb9UWzzPjKsIxzeKb6k62wzThk8vJsw8/DQCBE5GsciVK4fv4b/L/fPPysv76zGGdDlhjrTAJwLjoXcSBcs7rjLX9cGUz+nCbkzyHnl1cy5fwAOM8IBZuCY1YHACCMydODqz7FSYBgnMPmxt/QoS0qAWgZwTY7fTMw30dR7psHg4IUJqIZRm+64yeMttA4H6LvVFQWgKXapotYqlEawnYWNHQRcF4UdDQyznaSy5JjOjedMnSltWms1ZydLF6ERO+TALjtDX8NZROU15a3HKtYB0mxxjmAt8hVo73eqCPlAZDT3rzQ0Q5Al4YiL+e13AIolt0oqEiqMdJ9FIbQzmJgliZJJWtxBz/5secbf49FGGdZiFf1Mv3U1d1o22WOqWz8L6//U7cPsXU4sRPLwnIjRG2XG4EzwnMqJ5vx2utgnB+7HmyhX+xCy5R1PkYLVjpUIoHKeg2uGmF7LhyqgpGR0Kn28l3AlBEzbQyiZ3+s16CULSKzsh+AuoFNa1ddNeh0xYGAdX7xdnon+uTxUTi/ZR5n5aK5qeFK0/Pf1HKbiDAtCBDXfaqFq4apumqoqFaglVpSoNRtYM3K3RIY4OCGvy59iPF+jlQj1RqTokQrDdMyL8Ai4Lx/A2RK2+HOsdQMsokqi2a95jNXj742jF3rdOh7D/B9aIi8+9HJXTVWyzDK73eSbIj32J+1QcVRY96+ZZMjGUohkmr0JlthGwGcy/ZG5KAh7Uar84dWCjudx3yXz745wObkhs8Sh+9XcdVQCm2BWYruRRwKxrk7uYss0TNcNU7/1FZ/sgeM86s0lAOUvVy0Z340rADTg5ejYgjWukkNqXy/NEGHFgPnUFg0L5h5sPtzRT4lYdqNU7fktpWp+phxDpOoLA7cElINdfcZm8IC5tv4yPNrACdWqmHmLgjOEr7dNZ9DJeXcBM6amKimqDHObnK6132Df/kRc70R3ACxq4YsVIoY5/Z642/DGj5mtphxTrX1cy4JEXDuunuUZTdKxTrHke7b5ilpIopXFbJUxcD56DYORs0AeRHGme9zIGhRAfsa6815u2UOq8xESgAoGarF2e247XKTVAOIi4T8864TjM+HDnKvnbwYT8DCHm6YrEFpVbO8SkRRkk/fVs691C2UrrhPwwDDnUgaYaUaovFR0o/kPlopUK/KOMfZEV4knlTjvNZK8cj55t/srMH+uYmz1ZOuGiw7k9GocW5y1WCWVTyXrHFm5jxquZ0opz8PUg1v4yZaotPeVZ+NWkNcLzErEq0wmJRoJRI42/8WSRfEnzU5sskeUq1dY5swrlUzDkPV95kr9IK2fUNINXwmE5JxPkGmhuKFzLKDWVWiIHucV7i6O5hGn503/RwdBmA7Up2FWNfqeK+ViqQavcm2AM5BqmFam34RA8BnZ4D6QlNrwAC4sxa6Rr52+FTUCA0AIOY5JvA6QqpRdi/hIJMYYdva0VWOdxbGuSlW1T30yyUeAOcZwQ1M5E2IR7/O/5keXPdUFmuLSmOg3C9qPZnh3o8BW6vBUUNG0w0nCyIsI2n1x1MBfHr5jh/wJOtwiJ5/YBmA8WTLwO8oOYc77uFXxQi4+zSAk0g1wnZ/5dYvAT96Hj/w4n8DVeb+N1h22HOPwXIIajwqzWGiZfQk49zZ8EUpuxI4FzegqLmhSlGRanBoUbSJzmZjdXjpmAOe8Ph6pc5pwxjCSBT29aaWzVWAb4AgdY6jZA2H4wLne1nEOGdaR/cPjrZmSmoW0jgLqYZ0ViiMweE4r2x37O4WDs9ENiycTqLVJELEQE1Uc3EgXzH26AXs8zjeeMxvdym/GaeTRZHQWPfRyRJc6GfRviWTyRr3pjM3PXnN7kSMWkmElvBvn6TreO/rz+PNV2wDpDRRSFv90EDHTPH/fuYFbB9O/HcC4OUQJ4nNXoZve/sVt5/lRm4CmC9dETafq2o4nlYNC6aGIYHg6jiEDWEuXDWIYqCS6rgBCmuclVLARmB0y72baDvmeG0BKzre93BaRIxzFKJTbGu8jVQr76rB93lZGftHSd8vwKUTzDod+II7KQH0mUFafOy3C5rVZebtcxwIiKqXcTX+zR89F30WmJ0B+dU/f8b/PVJdT1g0BY/B1ZtIKeCuEk414+0wvkng3N5wWaiwOOb/NjHOxlAEnF8zfAYkPgeE8c04ckJrhW4FOMsi8G6+h8zVIsiQY9lponrtmxazr6R4AJxnhGWcDTpSqnHhzb7AQpVjXIJdrRI5B4mZGudwcysArbJZqjEvtI69Q5lxzqNGGDse4Ek7sgP03GftoFDXOBOMAb6IN4UD3HwCwElabtv/rk3u4Fte/JcAGbzt4JP4W/hj2CMvPyTrBKDCOM5gnLHAA13m6JADEkpHWYFxdg5DNxC1MUF3eKMRBBbRuQTwllQY51nYhL1XvVRDKWSJtg4lxmCYSmeEXcB1rTQE6HKEhCzQzXUbpW5hb5jjQr8VgDNsmndS8QKvVvVzzHJ7kWFMyDxIR4KiJByOA/CelQ04bdjnL9Y48yTLKd5F96MLIdWYYUfHP6L8DlopTNYD43ixuB1PhmICHSVruLzexl9/t0i/I9Y4MzhrAv1lL3bTiRlnRIzzNLXHWmunUA4UZGmCQjRBGezfxdg1B5HMZZqsjkU8aRSusI+lCVoH+0Gl6uyWlUmEf5MDW9VlsyEn1RALpqnuxmn5iHHWzkaMGWeFSWHsvwRwNvs3fCFvlL2aJ9VIFMZ5GWnLFYRuVADnzviuXQS54kC/UKSKxt1JdbRSgMg0bJjDoGVvZJzDc/PLn7o+9z5gZ45V2Y+x0wsAP7/Ns6PbOQqMs31cZ28rM0xjdBr1xhxaKfdM1F+/Kxjn7ngr/F7iuafOOXctQpZaKeeuUTlW4oiHu703+9eujK/WFg38vN4dTPBrn7mBRCPSOJfdSxgmccMjyXTL/Sxzlm5azL6S4gFwnhFaKSTFKLhfJC2gs4mDrtC4wlZP+449JuiPGJja94NUgwBkMzTO8yJRKtgGIbh+SOC8Nt0BYI8jO8cdUM9PxIl31XBSDadFLYnwBRMYM9x6EsBJWAe73dvu/r7vWgUA34U/Wujzp4mkMlhHxYHU/OAuBKQEO4j2hvdX4t//XveN/u21/afRdCTJ3EqpRpIfL9VgtpkHOGaEskQ7iz9CoVsYKvYOLYHxnr+mqZAFTJwFUl4aXFprC6mGBQFVqcYs4DxaADgTghyJfc0Bu4g4GMdSjaXa0cG2Da5mH7hgiu9N2Rlt1n4iqYbTulY2iqaX4KKjMO6HOoHLxa2KVCNMoGPdLM+SgIz/bvqZin6VcQ6A0BYGh3vMe8HyMRxLOW2FyTQZB/05L6JLcl0qT5kaWPZCuSiZcdbeW1meWZ1xjovVpqVBO0tq+7Usq4mKxCxwtn8bikEau2rw+y3POAPYCAshc3DTea4DPalxnuOqkWqNcW7tOxtjLTRZaTutaqaZcXYLdGO9xDmsHZ0Dg+0NlK5DbBdjpDRFaSDs6MhLzKzO3f79wt2juQtdQgB6qwoCXI1Qc9tpjp/++Au4O5gGoH2MW0QitO0szZrHOHPnyurrknFuj++G30J0DURn0y6EXCaJXTUU6sV6vGje6YY5+fLkqpfFcNjrDp8h0EqhUwiWu3seQ+Gm0i/Yxzk+HuH0LHHTr9W0mH0lxQPgPCOUQpTyQP8yoBSOBHB+FHf830HjzJ9XXgrBFcfMkLSlR3BrdupOButcAceewAKSQqRt14odXw0tK/i9VAM2pWY1znB6KT43wmdJAmfHOJtmKQLH0aTArz950w8mlwfPRe+/jV6aSS8eB2SOC1u8E/5d1Ts3M84LNMSYBsaGXGpVIQyoMn22sfM5GLL68nfd+TCw9SUAcWtWY8K5LVIcqDVfb5keBLJUeUBaGuBAMAkYbHuWLZ2GwXqabji/UIVzvcxPkgq2MUAugDMd3ZlpG3g0wyZRBrNBUetX2HsoYpyxXMbZGCs7KRvuBT+xAPiZP3lpruSECFB5ADmTJh9nxIwU/5lohVEEnG/Hk5NgnibJDOAsqglZWtX0O5XdeLHD5w5wYXC4f/MsPpZN7+sIOKeTvej3IthsWztN5vvfzollz5msT2bGOREZvaYJv9qAZ1oYtB2QleG9kyM3la5/Tooy1npz58BIqlFaezxsBMcdHNxEJ01AAPoVG8JZkWiFUV4im+VmIhnnyV1fHEiOJWDNcmxH2A9SAKUwSMLx180BSmMC40xhwc8gHOD25fMZZ+v2E15b5vUnd1MSgOToNv7q8/8b1FO/0bjt9d0RBpPCFznyHDzrfLRknHUnura1bV3W7/9j702jLMuu8sDvnHvvm2PIiMjMqqwpa5JKUmkeQAKBCywZ2WC3YTWDV1t0Q4MxNN305P6B13L3Ak9ND8v8AJbF4LnBjRbQtsEMAgkJSUiloVSqElJNmVU5RmTM8aY7nNM/ztnn7HOH915EJqZK5F6rKiNevHffHc/5zre//e2idJxCCOwKVnA7vYEit0QBe+5FZ8VLQSwAFqLex5kW5HtMGriWXoEu0hA4EzkAfx1a7PnXnVWMmH93v9g3C7PyF2pqKlR/7CeJr2LcfBs4N4UUQDdjTgA9U5l6yBlnTYyzZ9i4RlFpbZ0sfPpTAIEGkZqfzAsCUgBcuqdQCnnXsxCDbAdaG9DWZYP1vu65h9NJNQSlL4VjnJ8oGHC+9iRQ5K4orinSXOHG4dQNJuuj54O/9zEG9l6sfG5/nOFffuLiQsfeFELMKA5E8+p5LtvJ9I5Ieu676PxfH7zW/Xlp50l0tp/G+z/3XXjvsz8J/Mw78cRv/zNXsU7fR98YMVDeJNXwhYEiAOy8GrrQGnvSsxwYbrmC1ihlIC1ZdozGaq/lJkkDyCVStvDSh9frFxtaL8Y424lbaeurbDeWFypgsjkLfCuC2JuyOwSxzrQfWa5msmIa1Yk0+HtpMUbpf8Bco3HfSzUMcGYXl2ucZwBnp3uUVQ0/Rc6B83A7mAQLFQKnLPFAiZ7/ViyRsrbbSbYX3KtKa+TWM/ykjPOtjkJp180wV96WEah3AxBAMHM74Fx6n3H8USWphi8S48VzgG2Awlqjt2KJaabMc8ykGji4gk4rgtZlqcZsjbMBzn5apoUMgIBx7ky3TQMUkmpAO5KjHTDOS1Yvb34PgLM+NJ7ILpOp3XPKb7tCzXludH2Xy1sV2u6bVhr3/+734y1X/x+If/s3cd/uJyrvHaU5xmnh+iFozM5+RFyaJbqO6KoLAbiGM+XXdZTg0BIZAhpyZJtxMeAse6tuHtYAG4urnQMp8qgDrNxr9hUFOkcvVezouNuIgAiuPzorQYfYQbGPXlKnca76zi8STePDDHXMV0XcBs4NIYQImBvShx12Pat0Thu2h4ACt3Ciwh7STDmvTZSLA48DnGnbZvtZoaH6fjBdyrfdANpjrPahJsbZuzPwzoEkX7iuVrAf20k5GwGbT9lBuTl4mhBKYW38fPVN15+qfm4OIF8kzIIk3BeKxiJAvUA6KmiL7a8Pnf+rS4+611avfgwP/8HfQtelxzTuf/wnIFXq9sex30qFUo3Wkpu0wuPyrJaRVNhJmlfbK419wSr0h1uQwhTIcakGeYdKAax2EwcCSOOcdsO0fy1QU16jPysojUrMhy8ONGl/yjAEYOAWhOkcKGrsCENXDZ4FqAuhVTCRpsyOjthfk/oloOEnZSmASfcsCmFS4StqL9hWwDjH9eCJ29HJhsn0xtEUj2+xYXt0I3iX1qEd3dtffd4fg73mSSQxYcC5ne4HGlKqyWjHczquzYhbPW+S1I0a3fBUcB0zz2tMAGoeFFWuv2GMdbBYnoqOe9bzIvSzrmOcp7ntc88Y5+joCrqJrDLOM6QaUSQwSYvarnUAAsa5O72BSEonp/HXLdS4T2Tfa5yBuYwzB860G/T8NwURR/wtt/L604L1nt1PoLf9Rff61770gcp7h9MCk7zAyC70SX/dtD8V4Dxj30mqUT5OktUdMNu3aLRpN+qf+6i76jtr2gWLALDWb+GB0zMkm6c869wZXg6AvdZeFlpYxw2OW3R7BZnsIrNtt9tIsdYqKmOLYebFzOtcFz/74Wcb//ZyqY/404jbwLkhBEI/TEqxDXueVbhTWcYZ5uHkqy8ri7X/CQ9Ata5ttz0vOHAW8BrnvMeBs2WcixA4Gzs6pnGOJISEs3XioOji4A3+Sy9+3Oiy5wyajkE8uo5ETatv2n2h8hIBm5uJ0PIvdGogxrGyv1hA48wK+ITVoBP4BICDzl3Y6ppCSgGNztGl4OPL2Q28efppBpztIJINvf9B0gOiuFZPF0njFRsJKuY0jylnonKlsS+5VOOGyyJwxjlLjBykHUfotaKAcU4iiazj7x9xeL2+0LHQ6LWiud0fzdpJ25S6ZyvzQmO118KP/fLn7RtvscZZex919xq8zp2+qlCz77iY3bs67kILr4nlDhd0yWiyASzjLSQO2751fW/Emr4EwLl+kgyKA4VxUCnfH4eTHDc0A1/DreDvJlXvJ86lVW9FRYxzEgnnDwsALcY40/mijp8nZZxv9ZRJjDNpnLmmVgCVsaTs8U6NI8r71Yqk6ZaXcu9rr3Gudg6UQXFVKxZG4ww4H2cAiEdb6MfmWVhSjIDpsixRKRIpMclDqUYA5Bjj3E1vIJa+5TaNa0VJ424a4HiYNJQlxpkV2mkNUyjpzpd5fV4TIS/V+NMDShrAuYPPB6+dPXo6zA4COJzmaEUSQyvJImDZFDEjsaayEywyyiGEdzEpvx5Jgb2IAeehlXFyxrm/6rO90O7ntX4Lb7i72qnQxaoHzr3hpQpbTAw2FQ7y5x+dFUgpMYz8QnlVHzRmOo97CcdZUfus34wn9CshbgPnhpAibFtMTMGw5xnnO7XXF5YboJiJz1sXkfazyjiH7NNqLwk8bykiO5G6bQvLDrBCoeViB0opFEoFDTyORM+xWZ5xBqidK09nXxi82X/pxT+yg2bzefJFSQAO69uTY/9y8OuvfuaSS+nfTPACoDJQ5pXYwf4uwDjrwPmi776L55++tP4XK59LWTHZG9InAt2p1gCmoUwDQG11eCDVEADNo3xCVUpjjzHO+mgT1ByFA+c0WUYkhHXUMIsmgCYBibS95gCimOwiKiaV/cmVQr8dzwfOsACHMYP0+TPLbaefXEhnvmBouwCLZVi0Q5mQKuPcvK1E+edSt/oVLTNdR3qZ3xK0cD5gnSU7Q7+g4sA5T+pZR14cSG2dy+TjNC9wwCZBPbwR/L2scea+wQIG4LciGRQM9bI9EKRU9rkslLYa53mLpf80rFKhTVMW05ZaWRBsvrse54TSAY16YBCTVCOrZ5y56wRgnkEumzOMten2OlISI9vGXkDjjNiD1hpLmhUb9zy4KkckxZziQM44b5dcNbQbx4MGOBHzcUbIOK/oAyjlPZHduUAInPM5c0BZ48zP8ebhBDvMV/kkQc/x+ihszhTpArjyueC14TRHtxUxqYaeqRtIcn7du4GspRwCsOe7tEgT5tndi7yzhgfOvt4k6a05D3ClEfiBz4zVe92P3eHlUnGgyXtp+3yIInPkVSEiyJbp4cCf91a2WyNx1pWmVYtE05RQlwX6aorbwLkhzMqNM8Pmxht174Syp21D7wD5FNTOmDRG9HkCRSTVoEk84cC5xDifXe7UsjwB42yZo0JpiPbAAbZEZxDTfeSFwoCxHPsYuM8aNtM/vPQvfedLS2/yX3rx41BKzWaGNQMnB1fr33MQMrIXbgwbGeFjhQiLwDifpFQ967WIh7CacMbZXB/O2gDA43d+D67EfhH1Jxvvxb9/5B+639+QPxkyzkAJOC/b7Va/n6Q45pLVM86F1tgNpBo3/IDMpBpJ/xQiKfBNjxi2yjHOsBKQKELa90zZqexaRJ++MwAAIABJREFUZX+IcZ5ms0GUkyNpBFKNQml8x1vuxqN3rYTn4yZjkhX4wEefN1KpKGScSTLCMxF5Ed4Uk6wIFqktvmhIegFr4qUafh7mbCBlbvY7DDgfvcS+zF+TPKmXavBqd16TEB6zwkEp08DfU3bVCICzIFcNiSGzM+zlu/6Z0L4eYxHG+ac/VJ+q/dOQaihNCxQq/rPfVQOIzZjrfyeSoDyWGXtHHXaQE10HaEhPTfFX33gOy53EHZ/zcQawdTjFddZ6eUOZhlQh4+z/Xo5YCozT0I4O4BpnD5x76TZiKZmPM8nlcrTsAlBDYCp6gQvIiC26lvUhcqXc9yWRDOzo6LaixXBTmEVJfSbvS1cP8dzWUfUPxwltrtvGqEYGWAOc+60Yw2mBZzeP8Inntmdao/HF8lR2gRqHCwry1K+eCjOn7kq/KEpqGOe4v+qINJLCLPSccOA8uhKOCdqPTUrpoDBwGi1BSmMEwIHzGTnEX369cYDZH2X47aeuuYXlcaPpvqjLAn01xW3g3BCGca4yNzpqYdw1QENCA3svueKk3Hrp0ucpFSMg3OCjdKk4sFUGzu1aMFUpDpSmKUAkBYYt9sCOthDlIyQwK+5UdDBF21VWSwHHOAc+zvYe3+ndj6JjB/fRNu7Tl2YCXCpMURrAoQfOxdpD/k0lxjlTKmC5jxuklaVjAKouGsRSlIMzkE2haooDyyRQHvXwD87+X7jwzr+PLz72S/jNV/0kLvbfCPJVuVe9hGJqtuNSnTWM8/vfdb7y/XxxQy1+AQSNEQqlscMqufVwC5FdSEhmffbQvfcgkgLf8CqTmQikGnZQTQfMfzitLn6yRRln7cEzb0iS2bbr5ffdbBRKY/sorZdqaO7jzBhnNph/5fohPvGc92nnHT11UmKchXBZjBBQ2wWpML7C+20v5WofXXbfxhnn++4K/Zsp3n5+De+4f81tjzOFFJOsCLXtoxvgJW9ljWsInE3XuySWOGTAeTnfCRagGl6qMa9z6NNX94MiSYpbPWXSfUULFC7TqgNGpnaD3w+2CK70xsRJNXjjmw6TaqgAyJ5Z7gRSjViaWhOSzm1LL43Z0NvQSmOgOOPcDJylFEgLVSkOBJ3f3rojbTr5PhKkNtNCwAloMbJnGvUBK/+h/Z0wAGU0zp5ZTiLBbDT96ySTaQqtjMyoDigZe8Obuxs0NESRYnVyqfrH7WcAAL/1pBm3Dic5+u0IozTHwSTDwThzssm6aCu/WJ5aiU4TCyyFGYPr7jUpBHYj/0xFo01zQUbemUt0T3mbSViJzCJYdcUTNN3xleBZM3wzXHFgkoVWpNQPYBz7uUJOdrDUMc2Xrh6McXl37GRnxx2WZxUH3mac/xyGEEBHVYs6BEK5BnYvAPCuGmVWmBwNiK3SGiWNc8g+nVnq1D64fLCmh7soFCIpMGLAWY420WFuIMN4xembATM4x5F08hFiCmjijKMIL/a9zvkN2ndWqgtKu2utQ+B8zndZxH444BXFyWUaR9Mcv/ixC+ZYeMqqxGBTCv8kX1NMGPCwC5uypEIKgWF8Cjde/Tewc+e7ASFwpNvYaZt7I4Jy3RcdqGfgia77xqBqeUYSH4BAdJVxVkpjB1zruunSpdGUeYd2V0NXgMgzzklk7ineuKOOcS6URjeJGrsK+tBOR8yvTaF0oN/VuDWUs9Iah9PcAPVSCtVM1tqBXdoPfo+UrRZDCVWv8hy6e4wtYB37LEwW4IBpnNtDL10SLAvw6AOeQeJB9QcAOR1UlYKTXGGMNvLIur0UKTqs+KzccrlOqhFLgaOYdZErdr2syJ4TpUxx4LwFztbhFAeT/E9d05gX2jW+yAvtipoBADWTNG/AA1jgLKqdGFuxrLGjY8WBJY0zENY7EGAmydsN4cfitXwLyIdowWQ1UiRuId4UWVGVaphbTgAyCjqGtibbzo6OGOcOB87xEgCSfZnXRqwodBmHtuDSjy8B42zfxx2C6sLpx+uICixQU7JAdCZbqF49ANtGvvH0VfN8ZYXC+qCN4bSw3t+z9bZttliekqtGw3sFRCBBc6/bTM4OZ5zHm8B4F9CG5JnESxBJ28u7tPdxnhtLfkzpTLaDgnJNjDNM8WzCOtNO44GVgwBjZkmHkScLtg6nLmNxMqlGvU+2qHnWvpriNnBuCCEEukXVf1MKgRGzncLuC07jVe4c6DoDWZZEW3a2NUOqcWa53VwwRqDcPm6URhwm/oGNR1toMx/fYbTiNFgkHyFXDZpMKDWbWHP/L8Czxa/FczNXjrQgKEs10rNMK310HUJ7O7PcMhgn0Udmubc2o8kKcBAp3K/GgXzO9wauGlbjLKuTp7AsPmEppTUuJve790SbTwNgxYE1jHNdcJ0dAR0g1DgXWmMHDBRZqUahdCDVQGe15EPrgRn5eU8HfiG4nlUZ57zQhnGeA5y99EcHE1BuK/fptN8qxllp4GiSQ4MYZ/83WqSa76L9CLMcZMNI0dKefdKtfjAhNKZv4Rc4SmkcMeDcGl722+CLphnOChReqhG+nuYKudJI22EbXXcUKmcSMxH6Bgt/Px0yPeZKsRswzkoZveSirhovbo8q5+dWw2ia3KU0LDD3CScGj0cZJGvUg7skEsjTKaAMuNUiQobYnXfFgCWFgHA3hLQLJpNVBDYZcF7Jb0COPYlxFK3M1NsCJjvDn1diE+ljPLvYS7dxqtcy58Ey8j0mC0mjgRtLaE6ZMsZ5WR0GOvpWbB1G4AvNgAVcNTAjzU9j302E1kBvsul+54WtuGEYZ2I+NYCNfgujNEdeqOA46iIAzrILcp6qCyGaNM5m3txhTVBao2tB4e44OeUxAUjyJYJr3Rgl/27OeZPLD0k1AuAcLVk5iMB0BnAGSMp0fLA7U6rxVYycbwPnhpACQRMRYm6EAMZ95te5e8HoSkvFgUJ4uxmA/G0NyowDqUYIoNpxhG9/y10oBzksAHDV9lQRzQfTeLyFbu6B81G0gkhKV2zkZQAIAA6B/0gIfFl64PwonpvJ23rtNoKBIl86h6krgtLoZB44cNnKcSNX2mhVQayS/YYy4+zKJsIou2/URg1wLjcqEfDghheiPaM9mygs4+ys8Wo0znURCb9IimXYOZCiyjhvuYWEnIbdqjjo93Z0HohPB36fz2ShrAYwLE6/Hc/vvKeBBDnE9gtIVOrumlyFll50rm46NHA4yUB2dCEo9mwX95PmX8u1/QDQKliHt5JUgwrLNGPiHHsEr+k+6HgZRotJNRAsZpjUoiF4gSgPAXPts45/5vu5B2fdcntnBvr4838YrTpZ0ZI+hC68CwEtLtsLaJw3Bm1c3BlWn7M5x/frn6veZ7OCsgW8NoMuN2X0PvSl665RjxBljbOX2/CIhEDErnsR96Dgs3t5oSvPPl/YOmZbmH28Dgacs82gKyMvzGuKvFCBJIu+j/aAM84r6gB//c13uXtda5QY54HPfAr6fMg4C+EX0459B1xzLIDNXQ1BjHNdLFJTMi+0BjpTP7dcWXqD6eQLmAZA0yO3AI6lwPqgjQ989AVsD9NGRpSirf21z6Ke80+vCyFgNeXV1yMBbDKZTmt4FRh6sD9K1l3Gx9yvZiPvee1ZzI32kmvGFKsJIuY17xlnWMa5JNWw2YZJi7m51DDOQNXCcZGg8YEfk3nhtsb5z2VIIYK21cQSSQGMGdDA7oWSq4Zwn48d42wHcT2/OBCAK6IK9keytDDMw0CM8yhgnDfRzULGmfZDCGDQjnGqZwYdzhQorZFIY7X0NB5wn38VXnSTal0Qi660Dh5I1VnHpOVZrV7mtV5UpX0S8JQr5ViRsu9kGRTVumqg+r0//9Gw6CRw1WgAzrBss2BfrLXGn2Te5UTuXbD70uyqURdClKUa5udWqThwXw+8I8b0AG1kJovANM7olhlnv7KLrXxivPKg+/udabVZTaE0egtINXSR4+/u/jiWPvB2fOcfvQ9rtpinAj7mTMSLhtIaR9PcFSPWapzBO6BVpRp8PxLGPqHBVQPwGkieaCXm8ai1AdhrEo9vILYFhyKQ6SzAOMuw+Y1/3Sxk0jZ/tjw46wVjVjiOUEpZCAEtY9cYQUIjGptnlxa0eWFdNeZonLutCOO0mEekVuKZzcP5b2JR2LHTLfJZtom++sL2CJPMLO64Bhqgsa5mzBECESMyVNJz7BtgXTVKxXqGbPDjPIEzpTWuwV+XwXQTcuLHPW4F1xS50lUWkgHfURwyh0L4+9owzn7smkYDKxX0C4EpA84r+tDo3u2wkkir94ZlMu05LIrZbjSKU+KluBXZJQ2gyxjnw/ZZYIVlffcuOvlErxXhVL+F//rd92NvnGHGrgEAOuyZT6N5jLMprA0zGbZ2QArsYBVaxACA1nQH2PPFwSPLOJN8k07JG+9ptqFz3yME9sr6aXhChu69qsbZSzV4p1A+T+8MU0cInMSOLgTd/nV+jF+NcRs4N4QA0KtplSogMB1wqcZFAGGLYfo8FQIIy0oQgEpmFAc2Rcx0r8QiECAZtvxKNx5tocd61Q+jFefIIQCc3+jj6x/eCBlny9xG1mrpWtZ1nqQtkQN7F2fumxsc2QOZddaQMuDMwXyh1NxK7abICx1INWgTleJA3cB61QzkFfu/jGtdLXCuYf4oBeondOCpkT9mac+bO9YFgTN3UAmlGpIOAYUCci2gev7aL9tin4gD505Z4yzd/rdic3+Olz1wPpNfBvLQPiorNHrt+cC5d+NJPJp+AYBpV/+mq78KwCx2Gruh3UQobVp5Uzo9dNXwGZ6m4kCldCDv4GlbJP1SESDtt2ewOONMQE2LOGiEsZReN/TdgtkGCt4Ap/x6UWKce9mu26eBrnfUALzGmWLEnk/qdEbHsairhoBnc5vilz9VXYzNA+TlKGxBMTX54fZnxHYVSvnXEIJkV1BYs/8Jc1NRcd+yrfZ7dZVxBnjNCFymsVAaVxVzK5leR0zuCgAO4+bCQIo0rz4rvGBtEqTcbzj/ZGJ2OdkzjZcccUOHwFP2y/rQyPiYfIukOVp7djVXevZ9oJst3FTNeHuS6DHGedjaCJqCYPeiA229VoxuEmHQjjGy9Q8zNc6McU5lr/aZo5CWna/rHCiFQKolsgEr/L3qfaeHyRpbuC44/jGZyb7kwHnL101pf72UrpNqGPzxzW99jd8uK1jU8ONaJBeX1VzZM+eNnmMumwTmKpJe8XEbODeEEAL9uuJAAUyW2EO7/SygCls04F+mBgb0IBqQagbuADjPAFA8Ao2zZRBIO8o1zsl4E/2CSzWWrbQjvJl950CfjiNZwDgrgNOv9sey9SeN++WAq0LwQGbtU5hyVoylk6mD20mG01xx4OwXK8Quuv1qKECr83cuD+xijlSD3u3Tbn47z+UeyEb7FwHHfKKUrp8h1ZCeBfpLr7vDSzVitg8W3OgAOO8ZvSX/nnJxIFt8EeNcxF1cgdlOBAXshAx8rhT6rdh0SJsRK1f/MPj97oPP2s97s3+z77dGqqG0qaLX2ixsqhmHMMNQqPCeKHRY8d8KGOde5XkhFttnfkKNswMXjA1bml4DJnuusGka9YEonntstCirMM7CgJuszRel5tky7Z3nMM5se6OE+c464GzOV6Gtq8YcH2cCsuXge315b1z5e3Zs4OwX+kk+xH3Xfgdn9j9vv8uA6KzwCyNRmsgpK1EHDHjNiUp6DmSb79XVRTMDonQ96Dxw4NwZbyI+8sW2+8lpzAtTa1KWavBrFqbcienT2maGOONspRo8c8FbrS9hCKl950B+lCTd87K65uvF55FylNvUnyS01uhy4JxsBE1BsHfRPXtnl9s4vdRGEkmM0sLcmzMZZ79oyqTpFNrcclugFVcJMilMR06lNPKBXzTj8mfdj+NkDeRqs2iHPg1/XrlHdDy6bnX9fNFq5oO4VBxI835n2TfP4QQXPSe0nUWvFS2G6dkvH5NZuH71Us63gXNDCFFinDu2D70Q0L01aBLs52Ocml61vqL+RqFCAMCDVAFAKRV0K1qUceaV0cQg5Mp0LBwFdnSbWM19U4T9aN1pZvmAQCwNvURduSIpjF/v6Uf8e7ebnTXIK1eqKZCah1YhQpEsBenkLksnU5X2SR6svFBu0jUPvXldu//RfjVrrMrkScVlra44kJ87+y8BG9qcBrCNZUxsq2aZHgJjU3illA6B80yphv++R+9aqWicBeDuN844rxS7iIopJDFo0lTx84n/rfedstsQQQr6Wc2yKFefCPYnVxrdVuQWLE2xtPXZ4PeN0XPAaAdFYWRAdLldp8mbDK01prmyqeJwfqSFFJ/0s5LGmdo4U3BrKiPVqGOcGXA2yBmAZ4IBBPZRy9NrAGtSwsHqrOD1DOHr5pkLGecdd8yDWcAZImScucRrfMMdE6V9Y7lAsRDLXPEIFzHVreRK4f99/KXK601BHSlFMcX3ffH9+IYn/mf81c98H/Dsh7zGky2MyqljQDcCopgtmFTcsxpq83tWq3FmjWosYBbC7OOhamFktcxS5+je+IL73GGygXlhnFXCsYaTHpOSVIPuB2Ifu9yXOBo42ZfLksQtTKzvfwSFJYwqhc+AGSMT21SoqXHQs5uHmGSFy7jVhcatkWrwgvdRcqqGcTbf8dpzK3jTPaumrXxWBDUJdcEZ5yLpW8lC/XuJbAgym/DjdaE18iVWn3T5cffjYfuM20Y5G9IUfN/3GXCWw81AU2yyHVZWVNI4O+cOboPILfLsopNA+qJXit6nlHdR4sd0m3H+cxoSQA+MKbFAh5ggzYDl2enzSGwrWNN5Q0NISrcawEsFJLGaQpLDRNQG4tZC+xNHHvjSKjcvDFvALbBaR5cD4LwXn3bpGn4vC4RMQaGNli+ilePGw/5c1LTMpqBnZcC8Y8fJCgoNpO0wnUxBqb+TjKcZk2rwVW6FwW5gOurYzkrqLatKacoABvDsrS8ONIuP7YSxDrZ4FMCxigM5UP+WR61shjFRUqDCOC+pPXTLHr7C29kBwGO2Ecp7X3cWdyx3XIX3F7SXa/ABHyC96/y0feewmpLH9rPIrQsCBQHQmw3FJrnyQE0yDUphAlWNM4Hqj3xlC9cPJsEkitYgfF6EwGcv7gb3Cn+mJJMOYNUvQpYnV6FZkRAv7poVJNUoM3nt2OincwacO1YGpQEMMF/jTMFBfDz2Ug3SOBurs9n76UmB5pmy7rbJCo2L26PqHxqCOo22Lv8x1qaX7Xdr4PFfdECEd7grFwISIKo7Hl4UWtU4q6rGGVyiY8Z28upPc4W9jl849a9/2v28CHCOI4Gk7OLBgHpgKzbcdiyhAagIOsam8cDuq587IimCZhjL+rDW2UHZ+aBQ2slkyvGJ57axP84CZrQc5vmbe9gzQ2ugzYrLJ8lKI+NMkUQCo7Qw16YJxSmFNnPSUUnPuVTUhRCofSaIJMsLjWL5vtrPUkdRnnmbF0prt6jZZxpnOdxy4zZlUgplO2umXKox8IWhvPHOaNs9CFL4rMBx7OjofJO0pyzVAOqftXFa4F//8cWFvuPlHLeBc0PIbGjS1gDGaAORMQw3RX8S4ozXDJ0bP4NOLPBXjj4I/NQDwM9+HaLNp5z1DLE4UoiZVnQz9ydgnM3DQIzzJF6BTqykIB/insyn2g+SDaOPpqWuDWcbZn9X2jCariMXG5jkDI0zPXSDwg9s42QVSqNkmcUY58LqvU8AnwpV0jjTfiAEwE3FhxxI8W3yCKQa1ACFjXb0bmnPK21OKWClm2C3XQbOxysO5NkKAHjdOTPR8RSuASwausdbru+FTXu6ZpItT/yAcUOIbR92rYEntF8o4fJngvfmhTKM86wZUBVoD2ucEnZeqLpq1FyDk4SGsckbTovKxE0LKQ7Sy7ZahTKgZ+twir1Rho7mjHNZqgH87tPXbTGOX8DyBiiOvWZSjeX0GvTR8RnniC28efRaBjhnHZbNSQ2DpLTG0izgjFLav1UFzgQ4TapeYt4SxwHH0i3GfyU5DBXuAeaeWsTqjoI8t1uXPh7+4dnfQ6RTaFiNMzgg8G+bBe6SoPFNL2DQyy23AZLf2XtAeDelQmukhcI+A84xKw48XECqEUkRSLL895mfRw22YtRymxeHTqMlR9zQIcRSYMzcPZb0gTsv/PRobeohCpt9qLtUGt5atBkM3ppC4AA4xyuNjDMFl2o07lo+dtZumWwjjmJXeF8XAqZdfVmSIGCff6WRrz1c+9n9jmGinR3dglIN93nOOI82XcaRGqlQVpMzzhPmqoFWD4i75g8qA2wBvBA+O7dIceBzW0fgzlT0/triwJrP50rhcNJsNvBKidvAuSEkS6sPRd/9LIRlH+/yDT7OD7+ANx1+GD8w/gVjer75FLof/JtoobCpGZ/OC5qfLCjTAODBL2DS0vZBjW0eT7O2nCvKDzL7yYZ7eIJiJ3h9lICZ3IyO2j7Up8779+7XMIk2CJj0lU+lTeIVk07uNjPOJ2UiMuV9nLlmUZdabNNEQnH9YOL3tzQ6lPdD1BUHcsbULoJoAaO1r6pf6SZukAQA7F7wWuzJYlINKesru7/7HR6QEeOs+gw457sYMC05LBtdLW5ixwoDlJ5kTiq49iSQT92vudLoxBGKWXrXw6uQKqu+vvuCYS+5xhm3TuPcTSKMsrwyOdLCiaREAFxzFopCESjQmObFHMbZFG6ZZ4Ze5LIdthjgwHka+rmOjs04h693W5FJnzPGuZ2SxhlY4nZ0Zds7EcoAhg1SDWIwF0kpC3sflveTf4zOy898+Dn3Wm6ZzEWDsgXJlU+Hf8gnWB9dMD8y94f6Bij1x5MEjHMfhfbPTJ1+VzRcd6UMk77fvQd1MWzPB86xFIFvNAF++r5JA3A2+6oDeeHUMs7kMwyYsWUcMM4HbmEQLDS0ds0+6Dkph1LecaOJ1TUZvpt92HUAnMdxDeNMWUj7UhJJjLPcNPlqQjmMIMminmsM1rQIWOkm+MZXna7WxNjz2wScC0ROqkGL4UXOCF/ABcD5yBScUvaUvrvQGnHq55iUSzWAWrkGyTPoGs67Vr/xucuVLB4nBwG6Z+uftVtVLPpnHbeBc0PIrAk4W73wfe9yrz08+ized+EfhZ/ffxFvmnzSFQlqOwC3cs44L1YYCCDoJkdAmIquAECtVLuR5aKFcbSC2DY2CRg04f8zaT5bHEh2OwyIy4PLQIMlHTHOnOmYxCtmEGFSjW4AnBWKBinFvDCuGsQq+cmROhi6/UI4ef/zj1/w+1vaZmUgrJFqhMDZF1q5gQdmUHj/O+/DdCm0K6RzjLFnn9BtBlARLc5Kcfcp1nXMrvD1wBd9LBc3sFKw7xiEbbbrQtic365ewnBgJ6MiNeDZRq4UOkk0u6DLdtCsBDHOJY3zLbGjU6Zpj1LV7m6hq4Z5LStUKSuhUdiLN81VYE0lkrBzoAAqLcepKyhgNef0RathcaA+CXC2E175uPqt2MgS2KK0k+64yviZUg2UigMDxtkAZycrgx8bZgVlPmZJNei05ez8ZSdgnJXWzuKRx+mRaYKRs4VRed99cXb1OwPgHPeC+4nkVzyE8E1DXOMr4RtJ1QHnTCQ4aM/37I2kDBodAaHGeRyHrhr+c6Y4va9DVw0pPCsKmLFgVHbWaNA4x/bYyh02KTQMy07NZeqCxsWbCa0KtHPGpCbLQG8dqbQManoU9AkAjGPQKC1my4iY7WgmeybjWpPl8duUePBMleyiuaDQGsWpB1DmuPeSM86mLpICvVaEo0VYV7ZoO6jRONu3mG6ayjgEBcWB0SC4dwK5hp2LiPABwgxuU1DWkcaIwn1WQLueCiYTXptR1reGNPmzjtvAuSE44zwSHrAI2NT3yt24FnnrmU5xhHK8Zfgxe9MKq4MDWupkjHMkysWBRuNME6Faua/ymcP2WQf0OWsB2MFf+LSR0gg1zkkHyhZACl0AB/UNCyjNE1Zz9w1w7tYDZ5oET1QcyBhns8rl++GjLNUY2zQxLRLCYwh/l9ns4kCyJKPFiGOctMagkzg9GwDHOGutTTaCotucspdSVCr560JrDc2KUVayG1gu2Hf0Daj+2gfWyx+tbgvA3infah2XvM45KzS6LTnbQuzAt5cuOgwc7r1Y0YneqoFTaw5cqn8jMOkG+ZLGubBpZg2NSVYEeke0qxpnY8fnNZOcnWoqDhxMrwNH3pJsvHBxoP+Ph2OcA+C86zT9M6Uawi8AtdYYtfyiqzW85o6D2OZFvFiJoZ4p1SB2im0sL+ZYnNWFyiEPr1ReXh8+a7bPAF7F430W48wK6nSr7xwlACubqtM4k1xH+JbbdHw7S6+qfMdm615IK/ebFd1EVhZsvBiRNzDBeM8RGpTV4sWhXOPq+gtYaR/FQDVrnJNYOsZZabPY+fK1Q2wfTbF5OIHSZBPYLIOZ58ixSMTpgUv8Z8mSAaFC4KDjx9nVNLwvAqlG01AaMM5dtCLhFhpNUc7c0mukM5btPrL11wR/f6H7OvZegfMbfeyOQsvPuuBSyn1mZSiGm76oz4JUJ9VIw+JAIQS+/S12POpxRxZLsDB5RtlSty6oiRQ9uvQMB5kX3Sz7+Gpgm4HbwLkxAuAsPePMLaL+cPAt1Q9+/X/vfnx48qSrivZSjZNpnOPIf2+5AQoAFGdeU/nMdu8BQFDqv+YYGeNMzEok/WpScWudw2vVDcCn3UPj/SXDvnQapBrFTdjRsQk3sKNDCIDNz/530lfWSUQCOy1VQObcz9dqnOsYZ+knY1q5SwHssQEdey9aKYwqAedm5pGnVmeFBqCX/OJtJdvEEpdqWDb66x5qLkqyhDOgge3V1/s/XPIp8WIRqcaRL4BLT7PtHF2rtBEuZwdOGty/uQqctcuG0PUuM5yGcTagYJoptJirhmj1AzAghWGl6VoDoWY44hq/Vh/7wuhII51DMJcSzvLOCqpJKLNf3VZkzl3UQRrZRZ3O0SkOLXBulmpwV41MaYxPVhzxAAAgAElEQVT6/j5tD68A2kuOAALFsy+UYIAR2Rj41AeAi5+oyKYAU9tAkVsv90VDCGAlvQ6hq/fg2viC2ybtiiEE2D6guaVwUoTPO5eeCFHN2AjBMg3Cp6tp3NwbPIipddahuNY+3wgueXSSqPZ1xzCK2Dk8ARqY7Ln9MFINf/3TqM8yF+a1uAScl/VBrZRLayCR1inCEh1HkxwffWYLz2we4cvXDmEsMetdVfh2bpZxTlLPJueskcc+IyhOTa+Gn4kkRmk+G6gx4JxGXcSWcZ51nfi1p6DxurCZisn5bwr+/uXeW9zPkQTOr/crz3Xz95l/D6OSfzcKUJVQJL1DUFQCzgBw/4bFL92qVIP2QlNGZsbpOpxkxvKRLYbcXCx5oX6zPNA5TL3C4zZwbgjJqlNHwgNcM5Ca0/bhpW8LtMC/od8NPPbjDmyt59fRm3o9EiDQPkHzEwB4+MzAFYcZf2iDeOkBLE4/WvnMjd5DtpjR63F5mM8Kp1kyPs7StXwlxhmAaW1aE+Qo0SsZ7ysNFB3/sHfyA8eOEINxkgeIOzRwBqkMxHWZcU6L4G/hMbBfmL55jLbTTJRdIYjJBxXpwctxDtrMBH//EgSU6eZnJ/0iGcx0U+ENUGaGBvSSd1RZzm5gRVWB86zwVfkamyuccf6U+zErFNrzpBpDDpzZvXh4DUWhXOMVwGuPbzaIGcxVVSqgtM8uBBrnEuNMr01zFTRAEa1eSD1Zxtlc++q+yFJF+pZkHSSvfs79zCf7WUEsY3n++cF3P+DYU+6w0Et3oKGxPIdxpgVZXiioZAkqsVKkYmwWdmwB4BZVM4MVGf/b7wV+838C/vm3YWPoLSwdO8XOT1Y0SwDqQgqB1dSDoyLywHTZgiaeESlvlZ7Nuu8ra5y5j7OoAVKSM7jCd4x1ICJKcKn76uAzVzoPzaw1oOjWAOfKWNBnC+EhadPNdVhirhqTeNncP6X9nSQh4+xsU9nXmDb20o3V5NoAeGtAwC9WykBQs39vVuOcMCu6rOX3nTPOp7IqcB6nRWXf8kL5eYdLNaKeyYqJ+uebolKEDL+4yu2Ca/Ta70Qh7fjeW8cTvXcFn98YtLDUme/lzpl8JVuYWAJPaIV2ceiyqpEwGe2oSBGRFamIkJGUhaLHMo9cNgiWkWGvUV0QxT/9w+fN9UbILgM28+Jeaz6HIZ31yo3bwLkhRAPj3I4lOok5bdN4GfiBP8Cvn/4hfPKt/yd+XP+wcd8492b3/rWDr7hJXAqgpU6mcX7v6+5wgBYI/YMBoNh4DVQJPNzoP+xTfTUpJmrHSaAvjkzjDbK8KvoMeB1eR11o++EQOA/MZBIlbpUroN3DSpXaJ3mADHtp/YwZ46xKT2TZs2OSkb61OlkHv6cMODPWKJBq2LdHtoEIBTEvIulhT9gBXmXYwB7EhElVOrN1rlJUOxXWhQYg2kumqQaAWKc4lzNv3P4iwNlKT4TAVv9VSIUd8PdedNc8LzQ6yRw7uiOv401XHkAe2UE7GwGpZ7U+8pWtW1MceLSF5Sd+Hveql1AUVY1laEdnd6VQwV1RlmrwBiiivRRsU8AXB7rXagAUxWZUr2flk/2soDqG8kR9qt9yet0x78yZ70FrlIBz1fKQ2NNcaUSRDH1n918K9LDkuDJ7P8177tj7LPDMb5sXVYa3X/6X7j1ldsp8v4Jzm1kgIimwmvkxaHvj7e7n5clVQDf7DbvDEfWTdsA4twzjzBfnFcaZjaSU9eJMfSQFPrH6re79qWjh0yvfshBwLjPONG8EwQGQLRCUAshzFWjcp/Gyk+MFjDNvgqIOasca0jj/i09cdNeYS24IPBn31erzx5nMWYvkX/l0c+E5BZcfcOC8z56ltTQEzi0LnCkbQPF7X9rEj/2K7eg3ZdZ9sotELsA4o65Y1Er27AJKb7wK/+Eb/x3wXf8K+OFP4pC1Widr2Pc9egfmxTgr3P0gAAyZvr2b7rv5jEBrp9w1tHwcDV7OgNdK06IizRX+2ccvBO9Jc+WIBrqk9Ew/sNHHV66Z7+d2juU4zjP/co7bwLkhBGOcyTAeAL7pkTN4+Kz1dJYC6K3h99e+G9fveR/i2K4iz7zWvX/16FnQDB5JgXZxMuDMg7SPgTQhbuOzyVuC911afrPTNdb5Rzo9lx0IqTiibQF60ZvPOFt8EhalRAOvEyyxI5ql/k7yAHF7KCGYxrkElcuMMxUj1bGdgQKBsRAT+BV7WWrgpRp+4jSTnNFEbkUetN6prkOOPWui2iztVhNvvW8NG0vz/b0pvXbEtKqvyliXx0UYZ/ZvhgiXOt6fnFjnQmlTHDhTquFBTd7bwKTjr3tnvOnO36df2Klcg1Ga43efrl+Y1YZSwL/+Dmx87O/hf73+o1ieXK4wXkr7xRMHbhz7KyvTUDWMM5JeMPgLAUwt8PZ2dB5AGX2g//hLcbVYd4x2WNw1IyJZz3YCHkxNWKFhLzMFgqfA7Ah7obadT/rUoa7gwHnvpdL7Gwp8WNCC4ez+54PXz+9+wj2AdcDZMM6Ls08CwCBnHVGXH3QLxpYao5Pv28W4du/nMUt3mQQNUPqG6ZulcWYLGiF4y21TQCaFwOdW3osrj/xXmPbP4d+c/h8wTNZPBJwBD7Zc1AJnAaSHiK2Faiq7UDIGeTg7SZEUmAbA2RcH6tKzEUcCH33mhhvjCjd+khSKFkAzCvBQGl9LcWm32lWyHLzgLUt8lna/7e/d9RLjHEcCI2rOUiI3prnNPjJ70DTu47FHTofFdDVRztzSQpPOEWULDzt3Aq/5NmBwJrjvaZHyLY/eiXlxNMkdMy1KGaZuvucICNJX94oScC5HTXEgBWVkKPbHWeVZmebKdeckdpkKcr/m/jX88QvmXiTJYl1QdvOVHreBc0MIxjxOWMqDD2DOxsf+3rFMLZjeePXoWQcujY/zyaQawb6JKnuiNfBLne9FHpvJ5APd78O4teZ0jeXiQCC0xiGpRiwl2nbwznsLMM5Wr8qN96fxkm9Vyxp0YLQdDLonSddnhS80CyZ2XR74wwdUae1S7WXiNNgPpnsLGGc+EmjSmVNxpU9JkjTmBmMc79BbkNPFGeeHzgzQa81O5XHAy+3vJL8ruGXTjNA2tZbmCi/1fSELXjLAObOuGkWNVOODn7lkfmBSjbyzgWnH3zvtyZa7ZrkqL3GAa/sTPL9VLa5tjGd+23U37Oox3rP5S5WB2hQFmmP71As7+PK1w4o0oFBWPmAn06TUOTAAzqDiQD+xCjbJcr09ALwYna/s9nV5BnoRCQ7IVaN+EqeOnxPOOGd7UErhFJjlYQk4/2dvvsstiqkjXsGs81BqdCRoNTgjzOJVY+3wmeD1br7v6iIIOAWMc0GM82JjgBDAgBW+Zu31QBK1PLkyk3EmgFF3QIG3fqsq1agyzv66EGgh1q8dm+6rvXaMC2//u/jst38Mn175SwtnkbqtkoOH3YfgkwFwtm4oUkBOqvrWcrFbJCWmDIANFLtfWFD9QJoXTr9KCxPqFqc0SfXqgdJ//OJVVwheDi6fmhdx5seGPPFkE8/eEHCmrVFxoC6B+gAgcuAcDfDW+9bcnNgU/Jmn76PskJFW0Fjg38OPf5HFE8XRNEffzQOhjWAn2/WZTzv28KxvLXCeyTjrQKe8P04rz2ZaKFMcqP31o39JH26Od16x6MzDfkXEbeDcENySbCq6te/hYEoI4SQcnHFeOXrOgUQpS+4bdTf3AkHppDJD8Fx0Pz79vn+H741/Cr/R+3a7X/7BLs/CQrAiGm0G1UjCHUfBgfNMxjksSplGS9Y/U5Qe1m1bUHKCinobeaG91lswjTNC4FwuQCu0L+4K3ld6kA8OmB81u+7BpCe8XrTcAMWkdiW2E5+Ku0Nfh2SFgWoOcF40iP3Y69T4xsbdBTXOVvIBgazQuDxg+uRrpl0wdQ6ssw/76DNWosHaSmfd0wFw7kxuOHkNZRr4oHzjKD3eYPrc7we/PjT6fFVjyRYzO6MUB5Osoq8rtAcB05JUw7Tc9r+a4sCwha9hm4T7O9fsX0zur+z2pejuY2l6m9LGRkMoAuDcy3agp0dIhGXTkj6QhOPWPWveYq9Qylj5nWIdI7efC96/AG62EgVg7egr1T9uPmX3twqSXNZpzvYpIikCj/K0sxYC5+lVV/FfFxpU7Fj9W8wWTNoWB9LzLlAFO9RUBLDuRqw4sB2bJlK9VmSdD7QDWw+c7mNeOPKFfx9KQ3eDVEOwxfkktsWpMuxAGUmUgHNo4+bOA4DlTozz630HCunZpQWohkZemAVqHdj8E7dYrW7/Zz9i7rVigechYJxjD5x5vcB6vhlQ261IOmlBCHTZ7yXGGQivbV1QsSUPOr8k1SiPBXxsW6h2xcY4LdBve8aZW1l2sz1DFsHUV+RF6Gx1MsbZPx/UEZJHmitnR1ewf+uyO0D92KHLE/UrNG4D54YIgLPs1L6HD65SsDTbup+MBqNL0Fo5EX+lJfJJ9g3NxRjj/t14Cg8EqcRYVltuA95OjTqFJZHAqV4LpwdtAAsyzhaIchukNB5AEcPTCx9WSo2f1KYo1B8yH+fSpgg4+d+JcQ6/t8xMv3DVa3V5ZTyfPBMpzYQqqnZ0Qpg04W7LA+ezahPRyDOyRW9+I4RFwix8BHbrGi6cOj875+i34ib3vFC40WMG/ptfAuCzEXWxPUwxmmZBM4asfSroGtnJdr37S8312jqcHu9esPtFsZZfr7i+KDe5A1mukBe64rSgbCW6Uhr5dOQsr3LZBmRUkWpUG6D4tG0kRQACrkXnoLoh4/tU8ujCcwYVddWddrPQAaatcCKVbPFSZpvLkRemM6Ba48D52eA986rs3XuKHMujGq2qu3/MryHjrBtBVe33QARSjbS1HjCOxDg33UeUDar7ay3jbGdGKatMsfnVL5hoTMoKhXYcmXG+FTkpGWX8nC3YjFjpVi3rKtlCLn9jjSzklHXXi5aConDvOy0xbvvPL+e7tVoKrTW++TVn8bq7Vlw2hdLy5MFPIJrLIX77qWtsG83jPBVrL1IgzoFzzqQaWdx3YDBBBs2sCqn7Ird0o31yZ5PVMaWR2a4Us2Un5UWMmfv9PCBF1dYtkGocA3EJAS/VQNj8ppPtuYUMfR+XS9YzztUFFw+eNdsbZZVrk+aeca57pinKsg8ex1ksv5zjlgFnIcQFIcSTQojPCyEer/m7EEL8tBDiWSHEF4QQb6nbzssmmLtCpTrVBq9GFvDaYPRPG8YHQCs/RCc/dLq5gHHuLqZ3LAetakNgyBkBxYC1cMxo+V6myn16ECIp8Ia7V/GaOw1bkXYZwDuaIdUAMAikGgMUdhApP6wu1afrwO78RyqzTJnZ/1ka53JaXrtUe9m2jn9t1LBg4tkFmgjvWzdtmX/+oy9gmheOCYylxE7i2bA71CbiIdMA9+c3QpgVNMDRwqeWcWZuL7PCM85GBnPYPedbsx5dB4bb7rjqQmmNy1s7pmkKTCGUirthS+jMA56CAVqKrcPJwkys+cCXq69d/mxpv7wWmJo4WEF/sC/EOGumbc8jU9MQFgcaYGQmFr9g9hg6BJlaxshf/VeCfXq69YaFFwjk216rcbYgcNrm53gHGLPJsD8HOCuzUNYzgfNiesR2ugOpaxo67BkwTcfMMxbkxrDo+RACWCqYu0J3vcI4zwLidC/U/T20o+vbzJFfnFcYZ/h7g647ab2NVAOWcfba6kWJxh957KHa/W7UOA+pcY1ANOXd9ZYQRb4onDPOOmrjSBrmNkLh5B78K+gc0LEq5cdtP357resdl38H3/HFv407PvK/uC5/lM2rw8aesZx/TpIGxhlA0Hpb71x01yWJpG2PXToumzLSWgeMM+nlXXa2IeokjwBsobqXP3JAeVKpRiSFY5yNGwoDzumuzaBpe++Fcsl64Mx9nHcrf6a5ADDAuY5xzq3Guc6bnYKKReuO9DjP/Ms5bjXj/JjW+k1a67fV/O19AB62//0ggJ+9xd99S0Nwj8d5wBnmpiNtMIQIgMt6dtnd4CHjfDLg7KUaDABCW/0w3D7RrhibOWDDMsl+Oz59qWEkEHyQyTob3qljuFXbPZAeBL7anZBUQ4iSd+Sue3+d9u0XPvbC3GPPmavG66//Gv7aF/8b4Pd/MrBIAmq8mpVGWhRVJhoeSOeFCjINXNvO64MSOyH952+7B0IIfGXz0HaC8hrnA8Y4n1HXEY88cC5uEjjHkZFV0IS8NXh19U2na15rCjvgZ0pDxnH42a0vuYGwbrhrxxE2r3umZyiXobRG1q4HznWAaXeULTSBAjAMG9NTuyiBPl98KpAWCplSVcZZe9ZTT/11z+3CIQqRs5MY0TNCKfi6kALIv+ZHMUlWoCGw8+rvxovJAwtLUt5y3ylX2FUOYvg4cO5luyGLNI9xtraOYvVeZLA6ysOr6LBrVT5fdSEE0J/WXA8A2L/k9hc4eQMUWihw4Jy213DQ4Rrnq7Yxks1oVLbRzILx4kDd6hs/XHvtzZhYZpzD60L60ExptGKJSEp0WzHI9UeUge+M4At0OoYK8K5hDoVACJzlknOJEAzERNJISfZjxlofWn1w6dnw97kBhQW7jtq+P1caOh3i0T/+O7h3/3G8cfPX8TWXftHtf5PGmS79IiAqyZltXFKqCyq13iZYG0tDZBnWNDz3nTgyXUADjTMB58rbg6iTPHqNs3aF+E2M86L3AW2337auGiIsBu5ke470oWwXz/rq9kp1bJoh1aB9o93eG2eVv6eswJ7ex8dtOkpeXFuO264ax4+/BuBfaBOfBLAqhJhfWvpnFSlv6NGrfYuTathVaODByYDz2vSK0RALga5iwPnEjHPVcxGltJhjROC1uP/F195X2o6gj7oHMFidyxhHzkpHG/BcCqU1tFLow08+qe0caKQa4SDvm05UuaxFuim5pi9Xn8B7nvuHOL/3SeAPfwqdr/xGhYEPGEBtLekQDtYEpK8fTPDBz15CxDINKesYGTLO/rEhFutwkrvikDgS2GOT+hm1heTId168WeDcjo1+j9KK4+QUso3Xhm968LGFtiXgdX9ZrowkY4PJNXaeD4qlyrExaOFwl7WUjpbNhMoZZ6ZNJSeF4NrgGCyEBWOV2Hmu5kUD+LNcoSio5bIPAsFK6wA8EeNc7uCWFTpgTQWaZ1kBAbH+IH75Gz6Evf/ueVx69z9GHMmFGFwA+AuvPhMwm8FRWRA4bYXAWRwDOCtltPgyaeFCfL97/czQs/nl81UXUggMUjYu8MY+9lo5dpEVl2ZKuZT/vCgsOx4wzp31oEPn8vTKbMZZL9ZyW7SoAYoHYOUos2lam4V1USjHOHeTyJESUQNLOS/c3VVm70oF14aVDhnnUTSwmTFg0I6djJDkZfsxuz9qmltpeHxoFlC+OJCyRsqyz72rnzQ+4DbO737cnRee+RunBQ4nmf2beW2R5z7UOJeAM5tn9fazQSag144qrhpam2zAJK0Hzk1ONhR1kkchmOWrKDVDQkmqcSzgDCy1E/uzqEg13LwtBAqlAuCsOivVe7ezAgiLUdIjSBWCY7rOgGl20m+Fevs0V1UfZ6UBrYAnfxXnDoyzDtll1kWZuHqlxq0EzhrA7wghPiOE+MGav98FgPsdXbKvBSGE+EEhxONCiMe3tqpA7T9ZBIxzvcaZwBQtQl1xIBAC5+yKS613b0lxoJ3US+CDbkoNA4Jp8IsamCvPOJsJ510Prjs2lwbGvYgNsDUFghpAkg2dm0Mqe9AitlINUVMcSCx1lc2qKz4rR15YcPfM7wavd5/9rUpxYLDq1xppoSrFgLQCJrs6mYfdpCj4gGcYZ7r2AoN27JgVSu3qpI+0azTiCXL0N72UQA/me3jOiuVOgoNJZr7d7tbo/vf47XdWgXvfudC2hBAmLStNkVMkBLD2gH/Dzgs+BVnz+SSSiKYe0Axt18ispL91+6aP1/iiEg0dLLHzfPArVW9TgxRqTlC+J+gZbtcA54BwFsI5QfBsTuM8aP8mosQ21UCloHdeNBUH0jZCxnkHYsTGy15zt0jALO5IA/tC4hdKZ4+e9ocg5gMbKWxbcYq73+F/tsDZsVMlxpkKzOZFoTW6MkcCM9HniKGjLg7arPnP9FpQHFg+a2ZMnC/V0K0+dIlxLocQXjNM26bnpx0bbTxJNQiEH6corByyfKOVxlQBaznKGoVM42UkkZHpffNrzuKeNd8BVYp6xpkHsfytWLpniVxq3PgN81wtXf6j4LPr4wvoT7dcFpTG26eu7OPxi2YRTWByIcaZAec0KUk1WCG+uP5UcJr6rRhOoQWa0zR6rQjjrGgoDpxJOLs5s/IavCRGCNwSqUYS+Z4RUorAjq6T7cI5mkiSajDg3FoOCB53cGxh283DwlBeA6D5yslGau3ozDGZ13Kl8A0X/gnwwe/Hdz75t3DP3qecvKgubjPO1fg6rfVbYCQZPyKE+IbS3+tOZeUUaq3/qdb6bVrrt50+fWuKqE4UzI6uWaphf7BAts0rotc8i7M+vWIZXaB3C6QaZLhe9i32jgWeLSPpQN3JJ42z+bzG1zyw7gZWrc3Dvx+xQbqmQFBro+OmmFpGwE0+pW5FxIqXNcgAau3OypErjSSWSJ/7SPB658UPA6wdbxmYS4FajTPAFh0aiFi77UzWFwdG7HxKAbzq7AAQ5HZgmLxWJDFeZgCUH+fNAudujP1xFjBfh2/7b/Hp+34AH4rfjclf/0Ugbs/cBoWATTGS9EcI4JS/d4lxbpr3YykC4DyOlg0z223WOJezDceCFGzxNjz9Jv/6dhU40+GYRZGqAFel6LhLwNlKNTjYIa10Xmi2aAr3nZ8jAc9CEUMTR/Wd65qiDNAoiGFM2xtQlkHqZbuQexf8m5ZnJ/NiKUzDIyFwof0q9/rZI+8DLujLZu5jiXE+9yZA2gK38Q6QDr1Ug4GJ7BjFgYXSWBEeFIzkABC2dTTVkhQjdG3b8boglr78d6FzxNpkuhQkZNz19RmAq6cofSooIKMFc+6kGlQcSLUIMxZYC0RFL9oPGWd6T1xqtxxJWQHs/XaEbhLhIADO1cUoLfTasXQyjdwWEZrr6Bnn9n4123N6ZBp/cakGvZ9+Ntuaf/xNrhoAgDu8C5C4/kXzbGYT4MP/GD+R/u944OgzEILkE8Q4x1XgzDXOM8BtmZHW8NIdYp4j6Z/zX/n0iwFRc5wF1HI3cWNNLE1mkaKd7gKa7mtzDy6x5jdFe7m+oJvNxyTLIrJt3kI5U8o6U/m22evFFt565d+YY4PCuy/8dGNtBuA9wF/pccuAs9b6iv13E8CvAXhH6S2XAPAqprsBXMHLNRjjnMl6qUbMZjWBZsZ5PbsCpYEEBdraWB9pEZ24AQo9oHT/0Q1vfjeAlCZ1Ae+eUQ6undNAAAZJ/3kYM+Bcoy3VWqNdcOBsjqmgAptuyI7QYFqXpp3HOD91ZR9fvLyPRAqkl74QHst0H6s5cxVg4EwI05ggrbWj80yE1hoRY5yzqF6qETMteDuJ8M4H112aSwgDSOJIYLTMCq/o/CQrQJk1OWYsdxKM08IVogCAint4/P6/jf+t9T9Cnf/GhbclHOAX/h5giz7svjBTHxpJiRYHzvGyac8bSDVY8xe7wDtJu3UAwSR/dOatcPzvwWVI5TX4xIgJIZwtFVDWcfqK9FbAOFvgzK65EN5CLWSc2STKtm2eUa8Tdq4OxzzsukxRJInNjjFhtn/xlc/4Ny3P7lAYSWmkGhJ4qeM17WeOvGNJk7Qh2D8A/YzpJZfuAJYYaD+6HlhXUeRKodCLpW0LpbEs/PUZS1OUCyGAFe9UcSq71ri/NCaW/95ibHMRdSGkCIoD6xjn+zf6eORO9gxrSpfb4kAh0Eu8q8bNMM60SAo+3hogF3Zxko0QFxMIIZBw4JwsI46qhW7vfvg0Xn3HEg4SLtUwjDP/DnKIaMfS2BayMdKN3dowzq3DsHEOAKyOX3JkDtczc6a5jjypizhnhfpxaS7eeBUQmWZR4uASutku8MHvBz78D/B16R/hB1/6O1je+xLI/UTDSDXGadFQHNjMltLfy3+m+Zi0zlSsBwAv7YxP7Kqx3PEOK1GZcU73Ag28UhoD+PNUJMv17DbLVnQqjPPsmgalgUlaBFKN1xdPBe85O/wyOsWwkQwpF4a/UuOWAGchRF8IsUQ/A3gvgC+W3vb/AXi/ddf4WgD7WutqjujlEkzjzFP2PJzlGwyA6TRonNfTK9DQWGI3dt5aPjENYVJC/iYnlwWenuYG/lF54KXtCJJqeNYEgDVCN6+PmOl62TQdMAN7O+d6cMM4mwIblNKKfpVMAIrHvGKhnWGKC9sj9MQUA6Z3pLgj85ZYfGUrhUArkphaxjnQOMOb+WsAkrupNEg1OIO/0k3wPe+4F1RVLwVcI5lhDeN8sPQQxDHSdXVhmAgGzOxx0ILnuLcVFf+588IZ592LttCz/rNxJBCnzAYrXkauFPLAjm7fWV4ZqcZN6NxYWnkyuBtHDgBoDNLr7pqT/IiYQEoxlpvi0IKBA+eihnEWEDXFgc0V+D5tK5w8KJah9nFeNFX4c4/ncc+D1OSGl1lgaTZwTiLPOG92zqOQBnysTH2BIIH+mSHChRF6GyEjerTF2EUGnIvFgZNSCMbOkWQe26uei1nPN5sZZ4TFTxQJa0iVxX1HQsySaqz1W7hzxY8NGiYzkBUK7UTivvU+7l3vucX0cVw16sLIB0TwwqTURU4KIGHP4TRedlKcyvaAhRhnyqK24sg/t5Y1JpayKAq0j2qA8+QlJ5fjemYOomnemRccOFODLxdRApx7s/v1G5/5R8Cf/Hv3e6Iz3Pfln3fNPbTW6DqpBrej84zzrByYKF1L824CzH5M4AWx/BhnsdnleOwRn3GPhDD9EWAwRlIMobOpGeOsTCjEF0uu6VQQQSZw3x0DHc3M66E1RlnustEAcF9etaE8N9+GfNEAACAASURBVHm2caFo1luvfOh8qxjnswA+JoR4AsCnAPwHrfV/FEL8kBDih+x7fhPA8wCeBfABAD98i777TycWsqMz/wpBjDMDzqv3gm7J1XwTssiwytrhZq2T6ZuBqj2RQKg/i6QIUrx1pu1mO9aOzqbd+L2uYZiFEW8RXOP9qDXQqmGcnatGZxUQdmem+1B5WmtJBsxnnJUGDsYZ1rJ6neu59EKw/45xhmGJvY9zuE1XWKk0Is5uMMaZr97JF5tiqZO4CVcKgTgyLM3++hsr+7i/VGWhjxsr3cR7c9t7j4oxldK117opzPX3GQwNGDtFSrdP9iDzceNAGEuBVlYCzoWGiFqYkDcqFDAx4MozTSc4cCCY5NPu2UDnupZveoBsjyUSBtCkubJSifLx23uYNcHI7STK5x06/HJDhaafKT3vpBr2+hyHb6kAJto2XXcBDDsNkow5Uo1ICuu2IyDjNg5WPOt85+EXXep23nUSEOix64/eeth4Z7jpJsqc+QVnhXIM4LwodMimjUTfnxfGOG8U1+dKNcrBPZyz2GyXkwj1Uo0w6P2F1Tg/cscS7lzpwluU1V/HRcIQ61XgPeLAOduDFAJJxoBgsmwzYzXAWQgcJs2uGpmtBRECaCcSiWXh6XoR46y0RjLegiymle84NX4R0Cbz6BpiMKBM21pkHIiL+jHZxQOPuR8f3Pq9yp83Ln8IbTVx0qBeK8I0zWcUBzbvS/laavualN62kJ/zsqvIcTIP736YAefIPPBj1i5dTIy9K3UOXGZSjby1XP9dPa5xDskn/rzXfVRpYJwqO1+a1x5QFyvvOzf+SuNCkS+eXslxS4Cz1vp5rfUb7X+v01r/ffv6z2mtf87+rLXWP6K1flBr/XqtdcXr+WUTRQ7kVlIBgSKq14uWiwPPrbAiwrgNLJvaRwmNlekVrOqwKvyk4aQadtqR0jdfINs73gAlatDY+eJAq4t2r3uNM3WgAlBrYaO1RrtG4+xcNaQMK+0nuy5lV2WcZwvetNY4GGd4ba/KNgPA2ewSey8crSmEmQCdHR37WipQIiDPgXPeBJyjcCJbasdOKyuIcY4kDldfC52EA/3B4KGbYp8AwzjT4og0d5QSLi+A5oUH/IwFljJI9fcn12ZqnAOf1WQJWaEgBAJNHvnNOqnGSZEza/KRttdwxIDzanrNWpJ5gC6Ese6bZEWFPaRdUFqXNM5UHFg96MBVozyJskMitrnsk36cwxaoTxuTW4IUAsNOg15+aTZwTiJpXXQEvvUN57BzyuvFzx0+Yb9/vquGEEAvYJzXzcKL4mizVuNM3tqLnI9cqYBNG8u+H6xYy/Az6sZMqUZdKrpVhNIsSunTrRIvmFunItQWk3EJ+KzGzSSZ6uQBk5gXiu1ByhJwtozz93/9/SiHECgB55CI+Jk/eM4tNIxUQwbMqWGczbXrHPkxNxct9/PK5EqQBQXKUg2SyM05eFUgLurrTly8+n3V1wZ34DA240+cj3DH0dOumK7XijGdDAFtmrDksg0dkXtFvTyKQojqxaCXeDEeHZbJUvn3HsdVgwfplblcA6MdR5QZOVOY0a7VOHfrpRpmrKkfy9xrMOOomy+1xn266nJ0ZvJ8s8ZZLbZYernH7c6BdcG8fNHqQ9ZV6MDfzMT+/JdfVxqkmFZ0Nb2CVdbe9GaAM6Vw+eqQQCelhKlCVkAEWuzydgToIfdFT5Rq0hXGuWqarjTQZrpgLtVwD0+NJV3dgDmPcSYW7NEu19T6Ffha7ouUSONKKVpqwap1mCoi1sMwIwhslahIDCgzzjIYO6UUWOrEjrmNpUASSeSIUZxnNbIyxqWzj80cmBeJpXaMWEpmhxjKLY67eadx5gsKBpwH6WbjPgsh0GJSnTxewiRTiKUsDfImW1HocCI5drDFW9paxSFjXFfS664AlKRGwjLO01whkbJx0K6TavBjpnu5KDP6Defad7eEm2hiKY+VpuQa9vB188VSAvvd+yp/P0xOzy0Ojew9CgCvO7eMG2s+3X3nwRccGTBvf6UA+lw21d8oMc5boJpfrzP3C+dFpRrcamsoB/60r97rXj+jvFSjvFUN1DL+nHFO4z5jiRdnnAlkFkqjk3iWl8s+TvrI05hSZZz9orSX7Ro5WplxlqK2E6EAMOS1K0ebEKyBTVoUTOMcuaJW8vBV7L/W1Gchry95h4t+eiOoHwFCeZ5S2o3RM4NlfqeiC10HWc69CX8cl1pHfOv/jWdW3+1+PXvwpANtvVaEfOznYmKbgWZ5lP97+MgLeKlmHVClJksUZ5YXK9qufq8FzrG/7nJ0w90fhdJYZovLDz511KBx5sWBtlENO5ZZhIZSwCjNXeZAK40zqGahV6dXa4uazXct5qTzco/bwLkumKMGkn5zYRQNkKif4HhXo1OTS1jV/mHNb4px9sAY8MUIDkBJX9lL7HR9ys5/hjOVxFwWSmOScI1zjVQDGp2SVEMIK9WgB7fGeL3OG3iexllrbRgg5qxwden17ue1wgNnYkToOGOrca5MqNqnELXWiNkioGCFKHxfy1INAHjkzmWnZ4wjgUQKfOL5bfyT+PuxR84kX/NDGHXuuCn2CTBAfbWXBBkPX+h2vLSwv2fC1/Wyd4pcmtZ3jaRoM4vFvLWESVYgjgTGwaLLMMU0kZ6YcWY6+6x1CqNu2D0uYJxt9sUAZ7NPdd+rtS4B5zo7Os/s0OktC6D4lvmimkAGXZ9Fg57dcvAipO3BQ5W/b/Xmy4FIpkHbu3HKA+c7jp5yhZYasNaH9RGhYE5Bwkiz+gw4H3mpBgFobRf3WbGgq4bW6HHGWfT888ekGhw4l8+arlscaj2DcSbgPH+K5PcZl+t52cfxUvTu82xBXH6mx2WNM3TgbpS1Vuo1rrTdqIVdQWO7Rj/1mZy80G7x0I59Bz5imr3UTiOZ+M/tdO9DZlnnlhohKYZOFw3UFAei+frvjVLsj7KgSH8qu42Q66c6P4rpm74XV1ffCnzXvwIe+ct49Vsfc38/vf+ka9zSa0XIR6yQMuoHc8Ws8bO8iKE5VIqQXKGfqBCe4v3vPN+47VlRxziL8Q6MexWg8xQ9YSQzBSSe3VX117/HLSzDzK1ssGuk0PC1QEoDarSDNqpjw6n0aoBPgm3o2d/xSonbwLku2MOqW/1GoPNd7zBsR032xgQrsjp1K6UaCPVINNjTA827FwlYaUHNdqgQgkzdubyDWOEpZw1rpBrQCNqIT6MlCDBPYCBY5crRDgBRW3A2l3G2Ey5vxLI5eMT9HABn+4DTcSWOcdYoox1fxFKSarBCFD5/clcNiu95x71Oz/j6u1bxroc28OVrh7ioTuPv3f0L+ML7fg14z08cG9g2xcagHTDO5vr7TmXHCa1pEegdI9RSyDjPCl4cWrSWMcmLin0SLbqUugkvT6WgJ6x7XGsZQwacB5OrrgCUBmgpDBAYpwXasawdzJWuuisA1eLAJDKSKHrVTJr+PUppN8HxwmFaLByXeWxK8ZPEQgiB7d790CIcxhcCzpFwbKoQwKh9GluRacyTqClOD78MIYDdYYpffbyh6QyALmM50V0FohgYMKnGcItJNaydmda2+2V1IVsXSoVd0Uay75+gQKqx1SzVQLX75c995PmQcY4Grgh0lqtGdf/M+KCUxjJjeA2BYCV9J3jkY7tQq5MHlKUaXT2GtNKDTHaAKGnMNFK24prwC5yVyWV3b+bKZwLaiXReziStcYtPDXQY4zxK1nHAGqv00huudgTwmQYg1EnXxVNXDvDZl3ZD4Bx1GzMUO1jF+L3/B37rbb8AvObbAADxPW91fz81fM5lOTpJBFWjbwbq9eQ8ysCaSCmyoStHXmKcTxpRVAXO0XjHZVIiJpcbywGGWVH1cQaCRW0vs10n7e+00GsKXnittIY+ZKZoKz7zs5xeg0B9WnHRLNPLPW4D57pgjhpoNTPOd636VH4t48ykGmvpFawEUo216vsXDM8ga/e7AcnCaZ5i6TW3TVXdrsgIIfgnZkZpHVRv1zPOCDTOady3YEV5FrMXAigpPAPHY56Ps9ZAtxUFOtcbvQcBaVoGL6kDly3gBWgCQCsSDlTx4N7XGjqo4FaMca66alRPKIHWVizRb0eGeZUCabKCo/U3ANJ0jrtJpQYA4Mf+4sNBMQoBM26XtkjwYiguMc97fICtWTCxaLGFU5EMMMkUkqgk1XAa51D3eKyY7kNYr27VWkIhEoy7TIs9vuYGfgHS7ZuW26O0QNu6A5RD67DtstM4s9FRCAOilGr2ceYNVdy9LXxGg/t/LxpRDWvkGWdgig4mKyHrvNV7uPKZynaldBOrsIDy6din2u88fNLeG1XZA2AYQQDoFqwwkDJL/RJwtvcVSXSU1kikdM4aTeGLCjW6igFnwVw1lu50TgOn9J7x8K3dFtVu+O87mmZolewnhfRZOwCNrG05KEv3w3/BL1qcVEOczI4uktIt1Mqf5sWBvWwPS4rJ15KVRukA7ZcQAlekf3ZWJ5fceEkAWUqBVhTZTI1vtc0BdHvqx+JRcioAzkvpDZB9ndluWCjI/y2H1qYQPHC3kr3GhRaNKQEbvO6vxWB8GSo3LhRJJBGn9cCZ6n6aQiAsvBfwFnZ1wFmRJKl5kwuFY5zZgkmMbrj7usUcVUbRAKO0qL/+S74mgmcZAD8ONIXvH2Gv4wEzRVu7H8PEPP+RLtAbX6sd65rGk1da3AbOdZGWNc6zB71mxvm8+3EtvYxlNrjlndmdveZ9X7nQhUCb0tqlYQttJvlI1rOcHDQDfnA32zbsQMqlGuNdoFTAp7RGh01qJNVoYpzFeNcD/dIINd9VQ2Nj0A4Y52FrI7TeYhXiNFzRREGV3OWqaF+wFjLOReIH1O9913n3c7k40O+fX0BJIQzzGgnXxZH26xbgZsRR2NyA2FUO7BYJkhKYAdGf/6Lr789eOhs4c8ZZtZcxyQpEUgSTO0ks6DyfaCphMo2ic8os7JgdW3dyFQWhMzvAS2km+lFaoJ00Mc4lqUZSLQ40iy+JXDV3DiwY48xlEA44uwXv4lFXTEQuOWS1t/PI33B/2xfLeG7t3ZXPlCOWImDHtdb4kvBA4/TwGTee1IHbX/jYCwCALls0uyLgklSjzDgrZZ6hTM1mnD/w0eft5zR6KmScXUQxDtv++5IaazSgpgAWBsglAePcc6QEnfekkbUtbVtWxzQiMqiW5LgRSUMmlKV2k6wIsjm9bAcrTGc+StYMedLAlhPYuyL9s7M69uft/2fvzYMuO677sN/pe+/bv3X2wToACIIkCBIUCW6iSCqKRduKtdlStCVKZZFkp8pO7KRSScVVsf9JKmXZVmItdmQncSInJcmyZIuKIkWKKEqMzAUkRYogiGUwwMxgMPPt3/vedu/t/NF9uk/f5W3zxgbIOSxw3vfe3ft29+nf+Z3fSfPcc5wT5RaMuU0cyLTnqTZHvk+eJNuBzF1vcssmFZq/DWrtP09DnDU0DocpMBLRTNWu9bqYWhj02UYHtyLzbiidgfYvQ8O8e9FEOOSxX4jN0twu0mYYgf4L776v0nHmxcbtoqxtSwGSYIQa7gIwC/I4cJw3XPJvyaY6zjY6lleDO0lELk8kzxFWnFy/iMOmf586w+oo5W0pKr2O7K7jXGUiIQFTqBreasI7gqqxPbqG7cy/qBfuub9ih/msyJnj5ABG2ThBDZq5mWVqAe/Hmf9KwBqMnuRaA3EDWcOK/escGIWi6bpA1RhGa85JdR1XcJxpyIhzmaoxU1UDwHc8cSFwnE+SLWBDVG63ZX45OYzvh58RPxN//RqAdtvLDG6d+IjCqV7TXUMdcsgcZ3NOmCQ5O4A5pAVYjecMCMTZc8YFBXcuK+7LY1oqHecZiLPkOOvmhlWwIJxEIceZKSXAkjy3gU9OzZpbgAby1ib6ZBzdOBsGURGnoQtgMEkNVaPmvElA1ahwnC3dR04qVGA5y3fetQ0sFciG7BcFHqsmP6tMZSlaOfYe+0E8t/0RpL0L+Fu9v1aurlZhXKSH71Nr4Mv5A+73M/1nheMc7pvnPuQuE0PRsgo8heTAoqpGrk2uQppxtKe6UY6GqdteIs59KUcH4KDlec6NgxerowooRwWzPA84zuOo447Kj/2H3/cAZpmyjnbxrCTGuWUR5zS3lQfF9z/1/3wN/YZH9bvjW1jPfN84SU7VIqDmusx7ez0SijRDT8fJ8iqOs3bAhnGizfvcHguqRuMUDkXS4dr4luU4+xB/Jt6FaWliHnEW7aPaUx3tIk2NAFyP/dygdp+HttGOwHEWHOdZiHOZ42z+vm+7U5scyBHN27Gf+IiJKgWO82DXzfdNIQmZ24rElQoe3TNgedhOug+Ve44y+w+DSeYcdWkm6d0cM9MaOBa5L71zBsSy1q5xnGWC6BvZ7jrOVSbCQzSFquG2qRsY21uY2CpxDT3EwyNflWvt/PJ6vkXuo1dTIM95UsrRN6IaxIMHZBITsTweo9dZU1ItQidKA2hLjrNAnN1EJTnOgz1DLcjLyYHzcJzfe+lUQNUYJNthlbTDq/a6wkGZ/9IIqQwaPpRO+RhRbkLQmhQQVUgfwYT6qpqbUV/AL2Y6SRTKkOnFdJanmU8O9HSLos7wPFZV1U4mr3YmZTUVdw15isRqIOdQoEbXUlQUjqIwsZQRUj7nwhYgzpvu/XyNvBOhDg1yJtG+XGuM0xzNOEIdZBU4zjXJgUlMZTm6AuLM73SoeOIjQYs6UN/zrntL33kdZ3s9SQv//C3/PV7+0c/iC81vmqv9uUgPX2OugS+mopjIyfOgPHOhZmk/83vPOwdILprQtI5zaxOppU9gdIgoHwf8VkPVIKSZ0VX/uU+E5dLZePs002jn/jx9SdUAsNf2IETz4LJrd7brBwNAl+UAs7ysqsHPlvvW+Y3qMUCaUmb74jvNz3WZBRMQcpzl/ofDSUCJ6I5vYi1wnLdtXkeN4wzzbr+i/Lu1ffKCXzRnvkLmmbUm3vPgtnN4OEKn7fW1xvK8W9gX19Wb3CqraoiF87RFk0YVVaM+OZB1potKONdjf4/R7guGqhGHiPOowHGe1keLP3HUls9XNK42ertkDV4EyUhDdnQLf/DcTslxfvDee03Et6r9VRRQqboTv/DhhL6TcYZOo+w4J5FCEiuwShAJIAOdU4Hj3BreLO0PWMR55t2+/u2u41xlBarGrPCqAGsLPxBOuveVv1fxzMpeU89nvV0e3JXyqho8QXOVMoM4V6+i5eo5UAYh1nG2SgKtcsidLdc6QJzHUdcl2DjEQ2TyqsGun1BKCNAsx1lDpQM3mGYUG/m7dYk4W8dZDMrSKdQFxNlNBrlGlHl+pE66WO94XVJp0RSOs0ecjcPWaUROoB5g5Gvqbc5tkW8uGy72C6h5jR1MopA+MZ4TcZb85kncRRxHGE5yRIpwrITj3L/lkliBJREYkRiYNjYcT/41JR1n0/7K3o+5L2CU5tMR51xQdKzjXCwy1IgUsjwPQ7XiGGnuM9ld37Rt/9kre0txnC+d7pa+U8pXDpTOOlMG5jnH6V4TzUQ6zhq30jYOrb5vrCdoHL8MVgSRdjJOnQMUOM6MOCuFQ+XHjI1sF7mGQCwN1WhiPbDjoZdCkybRyWYmOc6d4B73WsJxPnwxQB611vi533vBJQfKhVMRcR7ZUt5Ei+ntFuVB2QjkZDmXkaBkfX4GN/jqB+Mcu5EfU7uTW1hPJfK7XZusBnjq2suxn5u2B1ccaOAobUToNGI8dmEtSA5kVY1IKTRTnxw6jDdwUHCcGb0GQlUNPkddkDHX2qi5SMQ5ak8dN4r5HUTA1cjPDfHecwZxjhTiAuLMNkuOjgrPlUS0uYoPnzs+eP0xFzHJcdYnt3Btf4BIIShCpTpbQaJyyWroGkTmeoeTLCzmZq1hNb3B9yMd5/YWjoXj3BxVO84yEvxGtruOc5UV5OhmJVZTrecMHG88Wv5y/R6Tfb6kMbXCS155qgYswhFFPlFMqeoL5JAdIxoScZZKAJlMZCwmCGoEaNAoXjPJgXWqGkPPcZ7Hce6P/KSqAcQC4RjEm+bhS8eZEWcRYpan0SjwvTXfKwIpOp108WPfUi6ZDVjeY0V7y+QU5zg3Y8QR4cruCY5HaQkNux2TdABeiCw6JhUXMXxl42QTuf2rnR4AWbUkmeQ3T+I1JJFyxUZCxHnXI6RYciIRmfBZ0rMhf8INgThHRybkzIslvq9xasoh151XIo9VBVCYqlEsuS3fg8E4R6dh+rVEnNNc41efvnZber7SOJzMCxGm4WptzzvHSb7nXfdivcVFHwz6m8QKO02J3r5QiZaluQ/bVyLOAA4ETWc9PyghznHEiDMCuS5p/PUkz4PFeZ98ARStNfYF4tza/5pT0wEMXWrvZGwXhwXEWeuCqkbXcVYXKY3MVI0iMk/E0RxMdcbqLFY+MsdjFgEYphlOsthxyiOd4dzwstvPIM71iiDMjx9Qx+XhKGTYGphjGMULLeYDcu3nFIgAKGi0JtJxXsd+5J2ntcmtIDQffvaSdpWmgcNBWqJqTCtwk+flPntNIM7x/gsOKW8UEtrZzD1Pb6zwHGFei7h8ALcJFFSYrBwYj/ZcQnIzULfZwiTLaxdO6NU7zh5xLvsnSWRoOybqoAMgA+1N9EVRndagnuP89ZAeeNdxrjJJ1WjOQdVANQIJAEebbyl/KfSdlzHmzHlUy7yQhqphHFapqhHXTNg8AbNbzffgOM4WNU4lVaMgSad1XqBq9IyzIFU12lWIsw4WJHJilfZzv/e82AZBEgSX9w44zo6qESLO9dw4nyUcp4LfPCXSMI3j7CY4MmhKt2GoGp99aQ9X9wYlVOR2LJAPZIR/wTHJON3lfVMoHJGoGlmhqAKEjtM47iGJCAOr43yo5P4FjvMyg6fol1nSc6jXq8Jxjo+vus8anu8/yfJaVQ0gdJyzxJYKFw1FMBNHkByIcBF2Mk7RtSFOGSYdTXLs9se24t/ttz4fRyLO/FSXSUQjAP1xhrVWjFtNj0Im+y9UVver5zj7ST1EnPecGgNgHDNW1Zim6S3RSblAOxYcZ62BnZ5XEWnvPgOd5268OxhM0BcLVnmmLA91nMeq4xDERRxdIqZqhN9zsi4ncy5qXI2wyKsdjjOjECSqQ14YPOs+u+TAKTeh2OE7+zb33bkjQyVkCTUZPWNFDEacoYEk7UPBSOBlcQe5SrxmPYC1dCfgyBcXT1XRDDYNjf44Latq1Gyfa9hk+PD7a4KOkuw9b3NAyBX/AAxSLoKtM9s+zC/y31c9b0fVWJHnPCjIEOZZjogIzVSq22zZyHONe7d2zn0MHGdL+TOIc3lf5jgzzQYD6ThvBbz7OqqG8Stm3OQbwO46zlUWUDV6c012dZscb1U4zqcrUOgFjJ1dhzjDh/S09qFc5jjXTabS8ZI8OuY4Z5b2kTbrqRqUDhDZwRNRE5lqeqrGFMQ5K6ADdUkDYyFRl2uNeCQHPOuYBYjzNftMvB9I5M9VpGrwIJBrXUgMDEtlQxwviepDrzxWMa+x3TDluNNMG91aXf+uLGpRof0VlSujzTKJisnnn+Ua+8L5wXE1gtAIEOceGpGylQMJJ+hgDItcTE7QyIeu+thS84jIsE/jLnINJCpEnBtHV8V9MVXJSNLV6TgDobpCZhEoidgoBadni5pJtj/O0GmGiLMiwijNMGYEaCWIs+3PBEwyjwzy/S76fikiHA1TrLcS3BSOc2P/hYCXypYKx7kWcVZ+sb2e73uHC36hNslzm6Ff3Sr8PqZpHlCCTpTnOOdao988hxNbQTSeHEHvXUakJ3jPK/8Ijd/+L7F+/IJL0pPvXZrpClUN00S1aF2FMS2ifBu+CuEyiHPkFkbh98O07DifGvsF41HjLIwcXQ3iTDxHALjXV9y7eGhKradZHkSheGxILb2CVTVagqbBCWkHkR/r1yehjjPPKeYzbLSv+t5dtKhI1ajeHFyYpfisbqrTyJWh3MWDm4gnxyAVlpsexJtBIvksWo0EfCRVo1gAxekd69VhrFnUAqzaU6xTJJmpENgqIM61qhpAAXE2Dq4BGcyHkcsHCS2xVA1XkVcizq3NgKrRmKaqcRdx/jo1qaqRVGfLSpOOWdGOth5HSgWu7IPffFuXx2hTJAa2NGc5Ol8VjLl+XDChfJxwonX/glwSiJpB1YiEHiZzHBlZdM+kvelS8qLRPhqUI83y4JqY81a0VNRn1gCiUQXiLCYQlsiRYVmCcJwRohIcdtQaiNKQ21403m0aV1VONo1IWcRZIc1zV/BhVcmBUlXDIWpLjEk5h7HFd2lWcJz71QhCs5AYmkTKVulTUIpwIFDrdrpvlVOWHDjHoeOstXkG1+Ed56QvHGfLa42VssmB1Rxn0imS3FTdykHIK0puuwIouW8/KmzTHwnEWbQN64cvq+dbNGVXzmYBmjtHmjnfi75fRObae80YtxKfe5Ecvez6h7SZqhoADgVVYyPfN44NO025WXymGesCV1+Xc7gmfVfcA3ELGRJ3hxpmjLrRebO/n1c+jT/z5b+Gb37pp7H9xz+Pv3nrr6B1fMVRDtgM4ixKOqsOuLDMIu3EVIzik+LIGo+zi1ociQIo4n4H4wzDSRbUCZB22Lpo0MG4/qRu3L//fe67i0dfBCDGYgZSlJcp44VOrhE4zpkFV46p56oHNvMBoknfRUbz3LepU9WYQtMhoEzVqNmegZfiu59RhFFPVEEdXAXB0s+sSfpDXdEhaYGDTH48KDqqBiCw9JZVkZwBoCsSt9MDKCK009BxbsRqTo6zn8+53DzT2oqWKENX03bCpALHWSYHNgd3Oc7feFYogDILfTATaPVveaOHZzc+4P8GAQ/O1lmdej6LDkut2Dy3BVCgwwIo4IIddcexcnSqHPrnBINpVA3pyMKiDkQUFIOAijCI/eB0ig4wsejAKDUTYpXsFWAWBL/wR1cA55lT8AAAIABJREFUmEEoGoecOgBA76yvnnayA6TGCfKIsx8MtZwR4CkdudaBsgKSsuPM9uCpLj72+PnS9/I8EREasUK7ESFSxhF1FblWhDj79vLJmItP0CQQ55Cbt0+h41w13pWoGrFyhV8UEfbhnanOeM9JkC1lIzFRJx3TZpHCdfITSfPYRhzsJKCUebfNZBA5ZOqTX/MhSlk1cERtkH2Xgm5PsBxn7+UV1Q5MMqhFnEU0YDjJ3HeraHpP1YAL5QNwfX/Rd4AsKt5uRNiJfBg3PnqlUlUjEyF3SaGQiPNR4DgfeIfLHi+2tBepulA0x30eCqeguR44qJwM+/LaO913jV/7cTyw+wfu764+wcN/8vcch1MeP0gOjLoOcV7McabKRatBHedDMeuPG/JoAfhS5dvlHIwxYvSbZ/C933QvLmy0S78D3tlTRMDFJwFluO6nhi+hPdlz7SI5zrmW1BlzXxK1za3jrEE4iqTG9J575xfTcbZz6jgsUDMNoa5SFNJaY7zmOfDdwSsgIrREuemhmJuUcITrrMijrkKcgZCOslJfsSMVj/YN4pyFVI1mPAVxlo7zpMhx1hilGRoV/PgkUoaqAZQR5/YWTuJNV4woGe9DWTBCmuHIz3ebr2e76zhXWZGqMRNxru9qRMD/e/HHsB+fxlB18H9f/ItAd/niJ4Af2DmLlxFeiTy60CFRrRwSTxI8kJL7XhRtUAppq1w6mS0ultyFnzCknYjV6Bnad0jZT/+u4TBzGLBo4yzHtX3j2GhtEGu2UcJZ/BEmbVGt7OhVR0Hg58ODiBuQrfE2WR6GbXWjV3E19tkrQrdZndzpqspZx7nbjJ0e68TOGqunaghkawm00SUWikab5HmQ4IX+zcojh1Uje0gUOapGpAgHArXmSXkZHc9PPHszoGpMoq4L+e/RNrh6ZDLaBcYn5lotfSVWJimwGZuM8EmW43e/6kOJSYA6toMETzaCKIBiv7bArzNFhG4zRJyVRZxPdRsr4zgzwlxU1dB6+lhUfzyzsGtECreSKsc53D7LdbUcneQ4FxBnwOcScKEYpk7UvQ98XiUd59a6u0++ZwB4dv0DmGbnrv4WIp2GVI0Cx3kYdVzC56JUjWL/ATyA0IgV3n7PRs3e9RYrz2Xnq4ns2K4UKh3nG3QWRNHUUuFMLyAiIGkDF/2i48LhF11pahk9M23Ojk8VVcPcX641jmI/X3QnO66TaO0XQ0xfqBsJzDtBAYg1qSm5/dVXjwC7IC4uUDSA0ZqnH62dlBFnWR23yCevsiIlg/8qIrz8vk97x5cy6TinxnEuFiJqxtFcVI3e2CPD3B/HaY5GXH5/Tq818f6HTxtlknwEyoxjnFECJG3kUDhpCLWXcTkvJtdL5re8zuyu41xlBTm6eaSJ6jYhEHY6D+K/fviX8N+87Tfxh+d+sHrDBUwRAoRYJr9p+KpgPLFHNYOB04NFSDdhWTOe4EKOc6jpG4/kpLbhrq84wJ00veN8Su8jzQwiPcly/E+//4JNOCl3qDTLvfYvNNSoAnEGMOn4CR9HrwYOpEykhC7oOGv/nyy3TRVUDXMN9SaRKk/ViE1YOs8dUrQivzmIEDhO4KJoI7yMXoDG5TpADeuoGjJUz4jzKM2ck7gvJOk6kz0X7l3U/r8XdsJJNDFUjVgRtIpCLe+DVxy6SPAl6Jtx5Gg5O8ceDZHh+qFqiwWkP2RQAAXye/85InKIs2ybUZrh7Hprpaoa3HelI2/egcUXZkSESW4cvGN0na6tSodoTvZK/TKbg6ohUUdGnKFZscGWPbYc3DoZShfelnSw5lqw+OX3/lr7UbySXAr232lfcgv2OO3j/OEXQ7Q6y4Mo01gUvlmEk6wUguqgbNy3YqXwLY+eqdp1qjHFTrZppxG5RPAqx/lVdXZm+/Mw4e7xvve63+45+oJN2gwjWo6rrL0zGFI1THvnGjiMpOO868ZiyXdmSbva5EBdgzhXbPvPv3DNUTWK7aY1MFp7wP29PnwFCgg4wQORHDhP/5H+AIntqxBn03VWXC2vI6RCs31D1cgWoGqIZPr10aviB9POLN1ZtEak8NAZM+72ct8nR8kGQCbaHRbmKc8ZOa+Y3uB213GussBx7uCxC9MrcZmOU+s5u0FqXo3VWcYcPC9HJ3iqliIRKSMdw+hz1ZmdzJFFNByS5jjOs1U1AsRZUDWKfeNEdKjTes/J52VaY+9kbByqwj5aa5d5D1j915F33EeiQlroOF8PEoGCSaJ0Do+iyORANMrJgZEqo0rSzOLDfFYWcX7LhTV8+9vOY5JpV/BhVXJ0PjmUQ9aLO+XMBfdtbyzNdDAB4rjGcS6pajAqayb8wwBx3rWI84IXCRuREIhzFvfc+6mIgA1RifPgCmQBFEbpOLkv1xo7/bHbPCnxXM3n7xbFRxSZ5BhZ2Ef+P2AcKEac/aRlEPhz683aXINFjR1whzgzh1QvV9ZbETCxKFOmgaOmR6TWhtdK7TWPHF1A1dD7HqnUXo6OC5LUI872+0kYAdRi8cs5CzmAXzj7n7pEsJPGafyLx/67oPz4+f2ng0lbZQMoWO5A3ALIJ3Yu8gx5YV58TqrQtxY1bmem0wFAuxF5Dvb2w8EzB4BnokdnjgHs7LlxSPCcLxz9sUOcpUOotdfhZg60jDZpdx267Djb42RaJgfOKkWtKzjO1VQNk3Stq6kaAMYScR5cBY0PnRrIWBk1EDdX0OyokIxAG8TZ/F3Jcb4T1ASBOHfTfSjkaGcy12hzOlWjd8687zCLn2Z66OZIjXrEGfCjXU+LSKON/Gptqke601Qgzvj68JvvOs6VVqBqfMcT04uVsK5y9W+eKrCqifNbHzuLzU4jKLJgOK5wahZx5FHnumx+HkAZKfU0A8/PihRh0pxC1RCcY93acMcsToaDAHHe9cUNLPeXkShpPICnmUfT6xDnccFxNoijoGpwaBcFqga8QH2SS8e5TNWIFGGS1Xd78yx9mzRi5ZDKzFI18tuYSKuux5zXh+wXCTGzOWde3FqWa/RFyLU2OTANOaKc9MXXJ0P2ncmeSwpa1PJcQwsd53HUMYmwkX3iG6LC3sErLuqhbL+LFLnkwFxr7Bx7xzlAnKkN7iyy+IhLDhQOBQqRnFgptGw2etsmCSoCRpMMP/DU/bh3q73wwqbKlEMiWa4s/G3h45GJiHBp5aOm70vt0a0yxzn3yGGzRo7uWLT7pkWcNTzNI1bKorTVMpTmPPb6ZM5JJeJs2vSl7uP4zHd/Aic/8Cv4xff+MnY7l3C95+XWto+eMaF7m1ch3100/SJ80T5ERFhvxYHmPOw1FiMUi1ikJMfZfNdpRNhoJ6bNo7iUL/PF5InZiLP9n7vNe59yv507+hMgGwUOPz9fV2DH9i1Jc2HHOdfAoVBU6aW7guOMQGGDI31V5iJoUo6uRlVjbJOuq5IDoTUmguO8PngFdCIrz24Gm89F1RAbSBpkJcc59zk0KzNRUKybHaCV9cF6QXljDYhiNOOoXo6OyOl3A8DG0OeFaK0xyqpVNfw2QFfUbmDHWRHhpOkBsl4N4rzSZ/Gvye46zlU2nq6uUDRGBap/8woY83TKeey+7Q4SVUSctZMvYkchiZULVVed1nMlwwlXCt6XHefdYLQLHOfmBrigSrFvSMd5W++53zOtkWU2Y7swLGaakyus46w1lDifrPg0bp/1Ox5dD66ByFM1DFXC3ys7UiY5UFA1muV2N6oK9SKUUpqIlC9AQGQoJ56qsRrPWQXtX0CR5jSDViNQYdFaI81znMSSojNbx3kUrblFgrkuwpGYRFvjXaRWgmxRy7QOCqCMow60dcCIAGyKCp37L7uoB8G0WxIptBJD1chzYLcGcR6q+oSqRoGqQQjXo71m7NrkJz78sHsGozTHZjtxfNXbNXamlH2vJMd5GaoGYBLOuO36iZ+YO+OdkrPiqBqFynvS+ZSLrg19AK1zRykz1ds84lyrqmFfFJIqR41ukODLzhLTysatM0gf+BAmDTOZ3+x6tY3tw2egNfD3fuc5AEActLuPMFVVgJtmioAzvSZuHpWToW5noRwrVeI4s+PsnLcn/oLbfjc+h2fit8wEZxxgwtutncNByyw8Yz3GA+PnbHKgBwE4OTCy6LfWIU1H2wVNrnWQG9FLPeIc6jj7SF+VucVRQNUIOc48Vk1sH+DqucXjjNeF4zy8BmUlSwGgLxBSAPjuJ+/B+fXpZdalPypPJ/u2QdN98upKfUWRI9XLDtAWiYEsC9iIVXXJbbatS+7j+pCLRgGfePYWdo/HlYizjGiu5WXEWSkKcpk6kxqO8xvfb77rOFdaQY5uHqt7Rcn+H4eUV+U0ASghzso6P8zpTCLlnKk6OTrYATRYRduBkp3xPGoBVqIL+SRAASRVQ7c2XMJhsW8MxEp0K98NihvUIc557rnWgHUMAgTCo8LjtlC5OHo1uAZG1M0xwnAeD3AGQZEc5yrEWc1EnLlNWFWDz2/C27kLLa/CXMlt2PvC4gszXnSZScg49bk2VA2phFKk6LA1C8Vvkki5JMhIAUdSsH+8W4suSvu1L1zDrePQCdEahUQhL0dHRCXEGfDZ7HGkzERiqTa51hha1BFAmCBGncpnaBzwiuRAsfFayyeMukUNTHJgI1ZLO7VF84twXyCDnZZl5Ogc4hwrZDlwksis/Z2Sc+P65PgYTMrKojYQJf4aG23HlY6RQQ/2LQJrHOXYZuhPQ6D4ezUpAxnOGYNfOEZELoLE7bLTeQi5pWCsDV6BmhzhZGzaXrb7QdYMnsciFhHhzFrTURnYXN9acsxXioEXf7/tRozNTuLfu7d+F/7pW38Kv/PQf4a/c//fNTr6MxHn8qLvxsYT7vOjk68UOM6+zSXi3CwgzmYcAvaVX3j10j13nFwklXJhnTonylFFpONcoGrwPDVJLe2vKjlQA7qxhknTXFOkJ1CvPu1+P26cDbZnKsw0C94PMbcWOcWMqpu5aJWIs6BDZAfoiERHbRP5m9M4zkCAOG8NXgZgxv5nbxzh1cNBJccZgIvkdrUY9xOf2yRzmWRxFbYqecs3ot11nKsskKOrVleQRqifEM0qjWzIeHVhepDvqI6qYVfdrGjQsIU66uTo2JEnFHhb1onKc23RFx10Vok+JgIBzpvrwcAqbdgSjnO26zoQo1dVFcrYmZbJgRQkiPVcOLSIOIP8oCwpDIxCsml3HZgLcU6nIs4hx7npEGdbACVdbZKIazM7gRAtEWYWXGDWPZ5kOa4dDELH+aTGcRY8x2HUQ0MUGYkolKZqj3e9JN8UOxxMnPYxW5YX2t5ynJPIOKTYEIjzwcvBO5hEhE4jsoO+Gbw32gmOhia0LuXoZHJgYASXHOi/CvtVr1VWWlEKGE4yu4harhBG+Zg+UiSLPmjMF2ouHY8M4swccMlT7IxvlVbBLK0o5QHTJMwDaSYKJwK5ppNbLqqRa43EAgncHlXGiyxV5DjD92Gdm/7FlTN5EcwL50w1cNL1i6rW0RUMJmXHeRQJxHnBRlJEON1rlvbj0PeyWIlBnNlRMwfpSqqGOQle2no/vnDh+7AbnzPO9owTkp2wpAP4mnCcH5t8BbLCKcudAh6E0AifH6sQ5VpjXyDOawWqBje11jPk6DgyJxznNOoEDihTSCa2JkBlcqAFKiTPmV7yUoXHNvdmkT4j21myICMBRRM8qs7SmCszMRevZQeBogYjzs1kCscZAM74SMypE6NsRXbs3+tPKuXoeButw+TAsXWcIwqpGlWOc1WbDycZ9kQE8I1gdx3nKluGqlEzWDEKGCvy1ZpWYISwAArzz/hfRpwB4Mn7t/DUpe3SMdjJ5bCv+54RBu0TQ9Cp5jlLxLmv1rDZSVxSjLSRcJw3s103kDDinOdllJo5zkyP0BpQE4k6muI0aa4x6gjH+fC6RU6ZMiAR5xAlzDVcpnicDf3zrWj3WKnpiKmYjIjgEWcy8m6TfMVydHwuwE108yjAFC3PvY6zUoSd/hi/9NlXMEnWDOcEAEaHUHla2leGa0dRr0AhIvSLiHM2O1lGAygWDKBsDMrM4JpRjAkSRzEhELApkwNfdv2RkeJOIzLfaLMgu3+7gyu7ZqEUJAdSuxJxIpiCEmYR59tYbvqW8+uV+3GWukEOb7/xOXzvOc7kog4yrD+vmYVdbpOJgb5AnLuTvUrEOdc60FdOCwBDM44wSMLkUqZqZHZBzlrzdX3KLXwLVA05uPBij9F2h/IJh+ak96DbvnX0EoYT0w8lP3ug/PUvznE2jsp2Nyx0RYCr6LqMcXLg2fUmHjpjxqO2c5zLR9WoV1AqXLEFS/w30nG+lL0YcJyjCsdP63p+u5SgXEv33IGkxB1XH6xbQzNUEhQ9StrB9uwsT3L/DhTffnbAhxsP+/1e/IT73G+eddvNa2FyoOQ4l2+CAY1VldwGEKhq9PJDtFIv0aqt47zZbkyVJMTZt7qPp09eAGCuc5zm6I/TylwJfpYawFpFcqBShEFDjh07+NyVPby8e4I813j1YGieQ+FRXN7p4w+eLzvZr2e76zgXLZsAdoLOEQFxc8YOpgNPQ5wZNVgm473+nH6FK0OVTiNVUDWSiNBKymR/Xi0TwqQyHpC0pWpoIOisEn1MhON8a9LChY2WC9lJG7b8/uvZHnSeu/Aah/CKgwsXS2DEOdcIUMc07thCCnmZqiEes1wYlIcv7bh2EnmsomrEs5ID4ScbTg7kz1muMUlzR6lYhcnqdMylW/T9YhRWKgCM0xw7x2OoKAbagqMsBmi2UgGUSDmOaKQIJ8J5ao53McmzmckhVck0SRbKUuVgqS/b92TZ9YOrSPTIvYPGcY4t79lM1m8+t+aSxAKqhurURGcMx1lm7nPfYfu+99xX3pFgCwpEU8eJRSxU1RAcZyzHcVZkNY0tKi4R5+54p1JVIysgzlkRcY6LiLNxnDmKFCnmYE4pgGKjE1Fa4DjDL0By7R1UloQrRpUGQo6sdXTZ0XSkEkFfOM6Lc5zN4q3IjeVxedkxn+l9Z9daePSceb5n11p464V1VOZ92XPNOpsHS/yWB91LyK07cCF/FVE2dNfN44vcXyPskxCI854st575AigmsmU+57lXnagyrTWaGINH7Ak1AIqDrRn9NFVow+iLP44d07Ye8ftlngZ2LNSe5rWwAEo14gyIhEpaMa9XIM7r+UGA7OZWo/kHnroPG+2ktKuzs4+5j9uDF6HyCQiEcaZxPCoDJGy8COgJqsakwVQNwrCAON84GGL/ZIKf/+SL+Nnfe96h8NK0xkww5fVmdx3nogXJCK25ZiHpMJV+I++YrqpyGJ+TF5SyclyaC8Q5VoYmUnNxjvtcQMLYieJjGsRZUDX6vqNKx/nGpIXz6+3SQAsAedxBmpjBNcEEzYnhZTmOc0XPYekyRh81dMBxnsQ958xOknWMYRGf8RGa6bFzxKepTTDPTmsgyQvIVsFmTahyMlIkkgMhKweuDnH2PFqf2LdMRIOdbnPdporcbn+MWBGOhA5zOz3Ab/3JjSAJqhk4nV0ksUJiJ5BIEXTcwdgm3EX5BF09mDmJVA2kiVBASOOuX9gxx7nRQbp5yR4gw7nhC26AjhUZ7iI8b/7B01207WJSqqmMoxqOM5F3nN13s9uSAIwmguO8ghGAz0tk3isOCrCKyKLnYCpRwy60JeLcS3cq1W7SvIA4V1I1vANF/VvOgci0TQ6kGYizXeTEaUidk+wHvmetbQidqRqiYQY97zi3j17CyFI1urmMlnnHeVGOs7IUvHc9UFZokJSHRY0LoEg7s9bEBx45XYkmMvo+zzvJSdxsWdTCXtOoR0XIsT14yW9fOKChd+lS8RsTKQL66CIl47S19MBF8jgayp8NTaf+OltBvzTjsXwXFZk6AKZP+jFQGm8+3npT5Tmkgsy8JucSGUWq4zjLOgsrsfamiwT29DF6g6v+nF1zPzMXa60NHHB76xRn+1+FUoaqcTLKpu5qEGdJmTSIc6SAYVPmR+xBZylyrTGYZFhrxbVRgZUi8v8K7K7jXLRxeRU906ZMiJKqsQwiWHtKIrfClcmBjBIbHWeaOrlzWJcQOlwEpmqYkKrWOqx2KDnOE4/aXB02cX6jhSod50hRwEPmUp/Gac7dICONnSMGeSmbOLQgh0KqWiZhK8uhiXAz9oPg1vhaKawH1CQH2nM1Ah3nsuM8a+HDz5K3lVQNLoAik25u1xxVg8yERVguzJw7JMhMvOM0x2Biipjsk3eIWpN97PZHroQ00jFiLqtKEcaq7dQS+NiRoiBkf5oOZibKVCWMSTpFGneclqyTowOQnfPh5vP9r3rEOVboJJHg1Br0+AMPm0G+kYWZ+9WOs0lokwlI8yRjmoVIbqUJV7NoYmUDRYRxlruFitbzhurLllnEWVGoxdqd7JbagpFgPfRJSVkjdJzfemE9dJxPbrlxiouCMEJc5zwxHzJEnHtBgq1DnHn8s2+XfAbD9Qfd5/bRZUfV6AjHry/e82U4zgDw/e+5P/iegNtaKE8rmMNyh9K0pC5NMY58BGM+EW62Lrm/T9nwffX+sKoaMjnQzJUaGjkQ9HlWV5AKIzy21zlMWgNtLRxn1QYKgIyyC0cev7K87DDyeD/efjOqbKdTLiIzywLEOaBqFM7N58fqEGcNACoC1i64707tf8n/Lsppz7Kr6+9wn+85fBoEsxDpj6chzlaOrsJxVkTIVYKhbXuCRjTasepYPu+g+HpOo+y8Xu2u41w04Tg3O9MLn7BNm0DJrkiVoqUntbrjMuggk4S8HJ1BPA0aXuPUC+Qq1Kb0KCxnLodUDYE4i+TA18ZNbHWSyoFCETAWZbE3JjdN8o6uR5wzizgzxzmaSEWNLkBGr5oTC29GftDYGF5z7pmhyYj7Fj2XB/BcA408nKCLxtSXOpPi+USEj775rDt/rIzahMbyCFTRZMntTOvg/PMaJzBxiXZFhLFNzEsiwkkUIs78XgAIQvVorUPD3CejYawnLh2obRzOhzgX3gcZFk5tYmCeGweMI6T5ee8439v/Y/T6V/CxZ/86/vIrfxUfjL7iwoy5pVv86AeNoyDVVEZRt9LxIPs8As7qHAgykaVqWE3vVeQ4sL6vUsBgnLkMeKbcLGOsqkEgjKIeUjLRm2Y+CNB+s63pr7lwnNNGyO/+znfeg4GkavRv+uTAPJSjy3ONT1/eLbU5L2rjIlVD++euDT/B0Xb4/QwQ53WJOF/BKM2gtUZHJDgdkuQ4LzYt1iZkEty7toxNK9H+LW8qUwyYQzzP+QxYQsHft1re8d+wEmV1+2qEOs5orFvAxbRNqMyyG1wf4BMF6xZNudZoScc5apf6GoEwsaALR12rm4GQb17Cji7M52sXnSLEIm0UgP0UgiVsDMYwVWcVVATFKxYgSIbeOviy+5z35necX1l/0n2+5+BpB5rMBl80OqJtONrEEWyJOjdObrpEUNi5pvhO8wL5jWR3HeeiyQzuOaXogClUDfufQYFLi62lzaCLHnEu6zgrqzhQP1l7VQ0qqGqIJB6lzOQkRNcdVSPPkcgEm6jrUPUikkBEGHR8dvvW+DoAUwCFVTWKCQk+OdCG3AtZ8IzkT3KDM92M/aCxKRBnRj6BMgJkeHZmgktynxxYVTkwnoHmFCejYkImO/irWjzJRESt5wvTVhkvkLjNWNEiUoQj5R2i9mTfUGf4wQrHCc11x+drJf69jJQK0Kez6mjmIMkTjjSJbmVJ11IuwjbJHvDFIJ649XF899P/Ht5y8zfw6Mnn8NHP/iU09551E5rkBcuyyxPVqeykD5/p4Yl7N8sc5xnPm2AqBzZ4EbsSqga5RZIMf2vtJcwWtVybhaFSAIgCfdtOGiqq5HZBqwcCcU7KIEMRcebISK5hKweasSXTGp96fqck58YTqtRbdo4z+W1kcjSHfeUTGHfvQWol6ZrD1xCnJ5hkGj1RxOEIXa8Gs+CsyDksRWNpx2XbfFqE64OPnC59x/14lvF7GyLOwH7T5wlsDq+Wd7SmFEGlI8R6AsAk66rE8Lt5DOo3pBb4rr0+z0F29LspiHMzDxFnReH25BBn7eiBxfs374W55s+jgDqf8wlyi/htxQUHv4xBnhD8+7u68V4sNKT8pjDdu1D5fZUFjvPRF0Aw+RJ1ihqAvy/pOE8SLlVv/pMKWo3Ba+6azcKqzEMH7nKc3/i2BFWDpiBPLizmqBqruEhjTseXfKiSHWdW1fiR9z+AtVZ1koCyXn0JcSYveK8UjHfRrUgOHB2ASRl9tJ1eqqUaFs5FOOn6VfL22IjQcxgnzXVpwmIHyjnOIrt+HHUcT49XtNJxNoiz2U/y+YqILyNU81A14mh6+xE56ll47yrkuK2KrhNy3HkyXBBxRji4c/h/q2OKLBwLx7mVHjhuIoDQcW6tu2vhRFTm2svQ/xnan2uSKkYgGmISzZKee2+iyC/61D1Poh8I8Pvy7EgHOPWlf+hQLonWB1SNuFqObqvbwPn1VnBd8/RnRnGSaHUFkL7rnRfdJCUfk0MclzimRJwBBIl93ULpXJfIK5MDG1WOc70cXaxUoKph3qvii2H6dZLVV/Rk9Dm3MpyMUsvnrKIYe4l3KM6lVzHJ8iDcfIiee261FddqrO6ZszO3NOJMVKluUGcaQtd8inEUVG5HAPaE47wxqnecCSGIMYl7UCKvASi8P5aqkeV+fGJqXt1QoAE0pXNmgRI5djDHmSkglSW37fvRjCN8uvn+8MfH/mztPU6z73rSPyfZ9lWIMy/yVsHh5fcJQFjwSZheAHHeb93v2qmVHqK59yyasaqkAclr0AA6WlLnTJ/khZ5MEGwMbwZjZp6X56i7iPPXgwWO8/zFT+rGN3aqWVt5VfxWIiASOsFOVUP70suNuFpNg40ncuPYh/fD+sbMCw11nC3iLBynY+oFCG+xI0QK6As91VMTizhbFHaS5SUpNdb8dY6z0Kscqa6hEunIAAAgAElEQVRzFLnj3Yz95Lgx8oizKiDO0ni6znMdOGdIquXopjrOqG5fXqWvctEEyORAft6Ll9wmYo4zv5/G0TvVayJSqoQ4a4hJQFI1moLSYd+5yD7348Q7s+dobya6UMVxbgg+ap50TaVJbSdxdpxVhC9d+N7a42688C9A+ajkzEj+9MRGTaqMyLyTUupupptKcFqu7LDcrj10puccH/mctJ7Oi51meQ40IrLXW+Y5S2MKlUwOrEKcBw2POCvmOBeoGtzWHLqXxovaRhFxRsiVZcQ5Eoto2S4Ewq2Gd3bOpNcxyfJAGWAfvr8vU3K7WsLw9hyCRduSx5hZu/CzkeMtEWG/JRznQUjVCO6CwtyWcdwLFt5E4WJZUjX4ObEcXb2Os65AnMPcGSKjP56L5MCSU2a3u/9UB72nfhgvbpjy4tfW3g48+SOV555lD5/xizeeP4EyN57npVUlBwa5QxWI82G0BWrNRy8FAFIK1zc86tx+5Q+hAWx1GvX7gCzi7Psk933uBwOBOLeGN8MxCuV50HCc7zrOb2xbsPgJEHae0m/wjlu0JBpUd+SijnOkjFD9fdvtQMe5/rrJTf5ywOEBygLSVlWjIjkwcJy7AcJb7AeKCMdt4TiPrxlurk3ymlRwq1iOjpMDy4izv3cN4JZAlTaGvqxqEVGXbaW1/b9shAgm6W2CBIjLg0fMEP0Uq5pzie5MAoRPDiSXBLOo08QZ8pwdrpRJZjvVbSCOCAcyOTA9sKXRrQ1l1UixXQFxPmr6pNDz2EU9zmSPVYFANDM5UPccZUQqpsSK8Jl7/13g4W8FYFCvX3rbT+OgYVCYaHyItb1nrG61f1Ay0jCOurUtzP1LPuNZz1v2hWm0qWXM9U1rRlXh9hBn3j9Q1iiUznUFi4bzI87GcYbLJ4ijEHF2PEhhjNrJhQ2avWCS5YnYjH/KIs7a0bg49+NWctHtcy59FeMsx7rQoj3QQo5u4eTA6lGBFzbLLpbiaD6gRT6NeaIalWAJAYeNc06Srje5BaTVRSkIFPDe5WKT55STQtl2v68xpuzUjYkaqOA4lxHn1HKcOb+n2BCStkNRjF987G8D/+Hv4pff9tNBpctljYExAPiQ4J3zookX96sY+gMH/Mxjpd9vNO5fiBZEBFzdeo/7u331k8i1LumRy+0Nep6jA8Fxjg3AyAu9kZCebQ5vBm1Wp6pxl6rxRrdlqBrOxaz4jQcpDrutEHEuVg5UyiA63//u+xDN5TgLKkngOMM5SKx9G1A1mOM88Lq+x9RzowOHc8JzEY46Pvnk/ORlaJ07xHmclR1ng0755MCQ4+wR5yw3Mb9bgqqxPrrmaCQypM73xOZC9yIBaaRCPVa2eEZyIMQgKq2qIMwqTNINeM5YPDnQO6DsPI/THD/24YfQihUOIBHng1D9RCycdNNv17Qc5w8+chqneg0cJ35COYvdmYNkXjGQStRRN7oWseLET4ugKcIYCfAjv4Kfes9v4x899eu4svkevLL+Trfvxs7TAVXDHFsmHtZHmSLbv9jmQfeMs2i3x+ztFzFFhERmvWohMbmgZTmM1rT9W/KTuwX9bqZWYCRVNcrFX4bxOviO1WgfLcqQ5aZfcwQO8Jq+xcUSR72CSJAdk11yoPaV2SKR1Eww7+FwkoGIcFM4zufz65hkGpvwjv+OcJwXoUcA9cmBTKVZts2jeRdadtGsdb0TX7SiHB0BoCgJHF4c3wh+59YhCgsfjeOuo+eR/T0solOuOiqTsqtvSaOZhVQN3o9NkeE4s9JNltcjznzdGSLgnnchjVr2PP63ZUy2vcxpYTyGF7OrcAxJNsL5t5d+f635QCVVsPZ4IFzbfsr93b76KcQ6q0WcuV9ROkQEMyePkQCR2Z7fvVHbq1u1hzcCqobkubNVRRhf73bXcS7aglUDgemIM+wAFXMm/IpmToII1dvVdkRekufiZhsXNqodQDY5yJYLoPhttAbQ3vLs4OG+KRQz9BNqn7ru5a9KDoyIMEg2sQOjddrQI2wMXrEotUaalQe9YnKgTEQcK8NxNvxhM0ANop6rYJXkIyeDRAipGvIstn5V4DiPqV35vKT0WZXxpFH1vSz5vSr7ZpsgJJ3fZSoHmhBvSNU43WsCRNiHdyg66b5tC3sXgeMsKgRaxPnhMz204ihAnM+iunR3cD0VIdymUDzJG2suGkHk9bWlIzCO152W7P4pH47c2nm6lKBSlLqrjR5RyKOcB+En8s42I/qrMkUhFYtluZZxAnJt6BO8byAnlu4F2zo98pEo9VuBOGuKAorXFh26STKJlFfV0MxxrrmurKyv7hbCtj+b3A4FLp6jyPBaU4s4vyZoXBey60iHJ1iHOW5GEfZyP9YvijjX8Yo5mrOsUzaPtBzADistyHEuLLItUnwkcgRw9Gr1/iiMxXHPnZPnlGEFVUMat/fU5EDJcVZtgIpUDZOPIek6pTvXfMXTAYzb8duqnnas+NrMBqugIijyYytaG8DWg8Hvr7UeWmiRpgg46jyIo4ZVfxof4TF6Ed/zrntq9yECaOz7/VD58ZIX7acuXnK/dwavluhkVYubu4jzG90kVaM5L+Jcv8p3L5WiuQfCuc5JFCDOnFWeW0meR8+t4YFT0x1/z3EuUjV8iMuhxyrCIBao0mAvKIRyqDYCTnGZqmEm3OfJo85b/ecd2jSpQJz5N+84S9mwjh38IXiNADYfcNswT4+dQgBWvsr8rrV2nFU1kWh2jeM8g3NYmozc9xSgw6uy9z50yp2XHbpFHTOCdLjMezBKM5cgtQep43zgIgQAgoWTbpU5zoC5nkPBcT6jd2ZOIlqX5eiaBalAWVygipNqEDDzDn/wQ9/mvl87/FqgxQydh4mHFbJXbKxa4znO03q+MSL/POZBqBcxIqAV+2etoZcuspRmnqoBAIPEL4Q66UGwLVf6lFSdvAJxBgAIXdkz2IeTEWQ5OquqEai1uPsBdDpGpI2ubIYIiBoBysfvgJOjs9+BTPXCxCaPBo5z/iry49fc34NkG6n2T21RjnPt9sT66su1eqzUXECLWfh6DvE8i7nim0v2/2Q+Ao6uh/vZfxVRiDhHXecws+M+aFRTNdgyrhw4harRFCpHTM0L78MXloqUT5AuHsc7drKY1mqs7nl3GhFORpmbj1cBqCoi9Jqx/+LRj7mPE8T48uZHF4o2EQGkCC9veLrGu7I/xuP3bEzbC2osi1513JjB/fKRR97ifu8ObxSoGiFFCOD34I3lOd91nIu2BOIM1IfICRxOnqL3uYQRvJPEdIWITOXAec9hBlCyA174vQhIu5f6JBaVsfq3gkIoh2rdh/JApQx5Htil43y2/6xLzqulamhfcluiHJO46+6dQ/tEBJz1nfZM/1m7jUcjjYNtPj/z6hE+/sXrBrUUyS6jqLrdY6WmToKGK17xPS0+GS9izKOtO/+MnR0/nvmt4zRHIzYH2hUh7Fa675wcAAFVJwsQZ/8yEQHHahOITfSjhxO0ZMWxCqsK4bYKPFcu1a6oGiFkoX4AwBkvQ9U9fgk6m7j+WtJwjuLa/sOVOdnednEdZ9aaU+9FEXBxk6W6lqNR1B5bkaPFAD5ysOwgY1Q1jE2jaqSM9ovk0LxZk5S07ikSZ/Utx21NhKpGXsdx1gBG/l0ZWdTRLEDMlUopMlflFGZ8bCWRK+pyQ3kH/py+CX3ocyD6yXbgtK/KcfbO7EKHczavtCAvELXGXHk0DIjIy+ZnGjrOIeIsqRpyLB5FPZG4ZznyQlmhN75Z8hzNnDItORBoapnT0nbXzqaIkGa5y1ngxPjieaTDv2r3TIl3UVq7EaE/Tv17uaIzd5oi2f8j/wUuK6Ou8YuN78RJ89RCSzRO5rsqqGyP5c9VbitzaEjUbhgqT21zwGDvLKCMg9+a7EGPRbSQV7Xh0UtAyevd7jrORRstnhzIg3n1T+Qcp1WW3Aa8w0BknEzuoPNOzhzWLSKlHPbiY/Mr3RfFMHByqxZxJou0SCMyaPgf64fddxePvuhWm5NKqkbuECoAiEVCiimNTD45kMPvF3w1pLPHX3XXU0VhuHE4xCTLbehRIM6qxnGeQ46uTlVjGQrFvCYn6MXl6DiczFQiw3FmxHk/7zqKTis9gs4mfhIQiHMuVDV+9AOX3GdFZNhwIhLAiip1JiUI2Vq6jDjzYmmao6MBoLnmCgYonSLZf8EtFJtSqSXqTXU8+B3mR/ymc2vYaM9KMDK0KbP/0j5tpQWhW8CG6pdDtZUiU0jF7jwQi+RuFiLOTo98PF1VA0BQ4eyM3nHUK484+wVyEXXSAPQ47PNA+Bw17DuWw41/vIBoxsrwtokwoobjXkbI0bzxeXfc43g7WKgt6jhPA02CgjkLmkGc53CctR+nozm4OuwkV1XAO6xBnKW7QwgLEkmggU8/iXsYWMpbkg9NhFLYbDk6jYZAnJnjLE0RMMk94lzU73bXLe7TzWs1513UCFR5sHYS4WScBu/n7VoJcW5v4T/u/iQ+952/jX+Q/MjMiGjRePF0o+fBpkdS7zjLQzEwQ0CAOA+UTAy1r56KgDW/YG6cXHftXMVx1vouVeONb8twnFEfjiNwCEstrMs59ZzCSeIQlFKLJaG5AhoIQ/zMcXaDpT3msUScT3aCCoKHatM5VBwmD64XZhL5rH6T++6e4y8BOjOqGlWIc86Z02WqxsSqH3DmuhsORfW488dfcvdTRFcA4ObRyCL0hLiQ7FJl8YyFT51jpFbY7nXmOOlLnIepGlzZcpzljs+dQmEYe6coGYnKfwHi7B1nicK68Kjg452Z4ThXhe5khj0114Sqxpy6uwJ1buw/5wb7ZiYc53jNOh7Vh2DEedHJyTnOWHxhM83KHGe9dHVSAlzBJCCkahQd51xr6DwLOc51tLZ1z5c8le84DejYcZy1o2SVEWcNiHOMFRda8P2QF4wOONAegW0mytFPslxjuOajXe0bn3Gfj+PtAPFanONc/T1HPZZt8nnl6Ng5dKjgjO0d1Ug6zna/w1g4zjXJgSAKChKZ5ECOXNrZUCnsRuJYAuEHvJpS7T3pkJ7FjrPchyzizLULAgqWOA5/M43jvGwb1T3vTiPC8Shz512FKQK6jTj4bkhNjDceQqa5X8x/Ll487XQecvkg5/Ibvk6DMB5riQhKRmeVp9BwjgyAQC6vdfyy+8wLCWkad3Wc3/gWyNHdfnIg0zMitVq06eJmG4+esxnmZPhdES2mF+kR5zLHOUj0s8PVcVSgavRvuj8Po00xKFHJmVEWrXs5P41J14RNm/kJHhl/Fbk2HMuq5EAu6gIASRZSNXjxwJMuEYCLT7os39MnL2BteB2dwxfQO7kCIAzd3Tz2mr7JRMorVTsBpuR2fSPWheKJbHGG2wjbTjNePCwjd0bkM7/5PRinuaseleU6oOg0JqKAyXC6qgIgwqPScc5mIc46UK8AgLZUVrBUDXP99YhzEBQ89Yi/h4MX3bvWKjjOTF+qsiLHeR67dKrrqrwxt3RVRgS0RLltaEy9/mmmiAKqxlA6zulB4NWmVvOcA98DtABVo/0qqBqnc8NvZ1WN2MrHOR3nit1DxNkvQBhhZXQ5Z9TRfqcU0Iw9VSPTwEg4zr1XP+0+H8VbBarGYtNi3faEutD0fNaIFf79b740czvZVRaSo5Nggt33UKhhFDnOctumpGqongVLZN4MsKPqHWces+vGq6KOc6rKeScEo+OcMlWjYlErAXg5r5XPV30ds4zBm6K1GzH6I8PNX1ZbvXQuInSboePMJax58bDIeZR9B3KVYLcj3rNbz5a2NYszu5+kT0WF5EB+17cfctu0jl/2C92KNprGdX+92l3HuWhLy9HV/GadO05iWpXjdLrXxENWiN0lB9JiIY+A40zh95xDR/Av9WEkBtXDa0Dfc5yP1YZDCc1CIbxRpYwTlmbA8b0fdt8/Ofo0tNYYZ9WVA+ViIECc464d7HkwtA5xswdc+ha33X/w2T+H9/76t+NDv/Gn8NTL/zBAgG4ejawjhABxntQgzrNCuLVcR7uyPxhMsDkztL+4EfyAtDhVwyPOikw7jdIcsXScIyE1N96rpGqkzWrH2XGNheN8bnKtcls2jfJ73BZUDdVaDxDCuULr254i1Dy87Kgz7Szkak5b4BJVVyebZlvdBu4RVI07iTi75MBlEGeiAHHOVBPaAgcx0rBKYK7RFe1xYosRVZpwnM/kryETpdIZcWb1nLIcHQIgY6L4OVrEFH4h7BFn7bRim7FHnLXWGK0/6I7VGPpF/37zYoGqMetphVaHUHP+xe00edFRqjLWrdZ6PiUOicC676yDGSDOBY6zPKqUcBwKHWelfG2AW4HjHBZU4QIoddeqEcoQTipkIlnHGYArplPsX3IhuWhEdh6rWwy3kwj9Ueqiuavo9ooQUjXg6VmcHLuIMWgGALvtB/0PFY6zSzwFQBO5aOr65yvh923viHeOX3KL4lxXIM66qmro69vuOs5FW1KOblaInDl9q5w42RR5dHaR7FSeZIvX73jDgBuQAWBf6PHi6HpA1TiKNt2rr4hKnZhAyDQwyXP07/833PdPjgzyM6lBnGVCVlAaOeo5hNQnB9ofn/j+yvv94JWfwdbhM66j90epo2rIZJc0qV4wzeI413IdFRwa9pE3n63c5naMyN//4oiz5zjz+2kcZ3OgXBcQ5/FBNVWjsYkqY4ccpx91392TXp56TVqXk0VaImyrLFWDbS7H+ZRHQJoHL7rn1JLIWbw2lePMk/OyPTiYWFZgxnG21UPB5WyXO0USUYkjqdtioSzyGbJco5v753ZCZcUDZ4LbfiZ91XGZt7sNPHCqY1RztE8O/IU/uuLPDw2q4TjzXfIYlWufR8DftZIITau9nuUag+1y0QgA2G/dF8jhzeOsSpuZHLjQ0ZYwyz9lB3rmFGMdprBarHnvD+J6VQ1pjWDB6VU1ZN7MTSXmi/2Xg/1zS9Gpu1ZD1ZBydBWOs4LLUTFzYPl4BP8dYfWUgLrn3WlEOBkbqkYkHNTbOxeh2yxUAtaezriogy6jE3uB4/y10rYMOBEBahwqqkhE351eIM7tY9+nq5Jlq4CS17vddZyLthTiXD9Z8aqOQ+F3YhDljOKlqBqw4W7xNkvBdtYHBYB9yVnbfxkQkk5HsadqELy2LhsRZ88Dg/s+5LJuH06fw0a6g0malxYfmfYSe0CYwDexers8KWq5kn38z+Py5vsq7/md1/6J+8yV4BSFx0ZN2dJkhqrGVGUVRfgb3/k4Hjw9v1LLvGYWJdoh24vtyw6Xp5lIqkaaa/QF4tya2CQfrUPEeQpVQykCzr3VfXff5KWpsTmtyxOcdJwNx3k2JzX4ViDOraPL7l6LHGcz+VQfLyIyE/WSndhM8KsbAaqSA5dFt2Ir2xbsG1QL9bzHLNdo576/9Km+TDk270duW2IruwU9GSLXGqd6TTx1adtMmjmX3Na4vOOPq3VI1ZgUqBqA1y/nMUeGfTuNCO1G5ByL4Va147zXujd4HX/iww9Xbldn09qUF6V30iTAMZ+qBpUpBvahHkUbSNktGOwBk2Fpf40QxBhZxNlRNezxb0ReyQR7LwbHyHNGyquvVmsdVPScxGVVDQJhknlFoKI+OxA6tbI+wapMvovS2o0opGqs4FyPnlvD6YKKj4afx/7cOy4iWZBmxO/ubtsvcOscZ3a0VUGBiu8t0BAXjvPa0QvB/Rf7y90CKF8PtmKOM0uEuZLbd2gM1VojihbL3pXOfDFsF6hq2M/7Eo24+lkwK3FfbSNXjWCfIu9PFoLQzTXg/ve7354YftokBxYR58wUdfGIsyxU0XXJKBzqcbsrhX/2lr+Njz/6N/FbD/9XeObDP+P2u7T3h7A6DyA7oRLCErIfeMulyucVzUCc60K8VQj8Kk2Rz1ZexjEzIX64/cdZ7q43z3WgptKy1QMxGQCZKcmbqQRZTbVF54ytXXDOdVf3sTa+Ubk94Dmv/oscTe0ncNXq2es2NhfivHEftDI0mcbgpqPmtIpUjSl99HZDvTKpbRVGVKBqOCdy8bMkNnk5qKrZEVXkTkLEuaOl49ypj3TEDbxGZtxQ0GgcXzUKGPY6GXFmxHc4ycT9IECc06icHMjJX0TMp7e0LSI8dKaHP/v2C27RPundi0lB/SNTDRw3z5UcrEWsPjkQjgp2J43pKo6qMccJi9EpBn80KeySlyLEsadraLFtM1A48gCTQyWJcD3yiirYfSE4f1CBtOqeEFI10gpVDSKj48zRsoyrjQTb+OdhxkZ/UhmdXXZerutvrSTCYJI5muYqFsxPXdrGeiuk+jmOs9a4dLq7UHK4zInZa9/nf9h/qbStSw5EWPNAllsPcmzOvBk5zNjU7V9BbOfuqsUN7nKcvw4scJznlKNDPc+ZLKobEVnnZPXDqNRxXmTl5jhLVFDVQOgg8Me9WIRuUz+o7cRnAmS6ylFkOgl/xpv+lPvtHYN/aTnOZcQ5UsojzkFp5B5AnqqhddgGWsX46pmP4Uvnvwu7930bJk0zGXTTPZw5ec5dR25n3qY4Nk1FnOttWsj2TsvRMfd2USkts0iC4+CzNip/nmQax0oizjY5UCQGTpJ1ZDWvHat1gAj9LS97dP7oS7XXpFGQoxN9ckQtKBWGK+dalEQx0g2fHNax4cNicuB8E89ybTltgb2MtZMIH3jY90kNftaLH4upZMGuouqf1GzXKDrO3anO+jXyyGPj8CUXruVFOWs751qHjjN0yHGOfdVAnqwl99IgbwUlBfseZ1ojihRunfLFHgBgb/0xkIpuS2e97p0h3D7HeR7jMLp/FtNPyK9ICJaQc3xCx/m18gEQUjWkCpFMDnw1cJwvB96RL2BUfY25LnCcLb9dDjPMcea2z/IKxFncpyIvk+odbWNLJwfW9OnIjp18nXcMMIO/l0XPIfvRYVO01f6V0gMxSxLz4kSicuBYVFoNIlZJG7sdg2ITNM70DYrt6i0Ujn1Xx/mNbktxnKfpOJvf42g+Tc5lzCTeAXGkllPVQKjGoJRHMTgECADHtA6dlFf+u9EZu4/9osKBY71gt4FwnN8++hyyybiicqBBQqs4zmniJ1HHT6x5vI+cW0d2/ze7vy8cfxmAGdzSzNynnAhQk+g2C82pp2qEfMLVG4cgFx+gzeSug4nT/w2keY5jgTi30wPzrAVNwzjO1e+dRFuOzr7bfX/P4ecrtwe8Lrcz4TwNVNe9q3yrdaoGxStKNwXv7ugygIKOs5Wjm/YIOSy+jDEStyprxApP3u+dnNtRbYmVcu83h70DqobgOGuNMDmQqsuUs2N8VfkEwfbBc54vCd9GTOMaTnzIrIg4a9fnC4izHWOdqgbC52wcJuNUvXr+I8E1Xjv3rS4iuGzL1FKF6PbaZF5jp8bcN2YunNZbCT706JnQcYZ/Pw+U0OsX7S4P2wyoGj33O6OSAHCgtoziCgCMDtCeeC1nw2utfzY6z4MIY5VEKCsASapG0SmTTivPFYB1NlcAc9ZHp4xSFDu2d2ru5yjDomo/QEgxHcYbfm4fH1fqbjsQcFLgONvPsu0B4GbXS4CeP/pycJziPbzB/Obbd5yJ6D4i+l0i+goRfZmI/nLFNh8hogMi+rz976/f7nnviOUZMBGFFiqcxDqrdZytM/PhR8/g8Xs27gjfjQeNRuRXufPux0ki0ml1KC64I5hj5gCyzUul4+xEPAhbqgbKkwknb/BnnHkzdhKDRHX0CS4ePl2mamivz4ksRZKP7C+EzJZg5XuvEr9nO7vWQuv+d/m/bUVBKeMmnXLUVEFLonr+KzDFca5YSKzS5AS98HnIy0KxA1LUhD4m/zza6b6hxoiBNW2s1yIGLjkQwPG5p9z39+//y/prsuF7Z0LLd0DtUhsU+fR1lgnHuXV4GQDQHvv7GMQb7jnUXtptJHvxWHCnzIXql9g3iQyVTBEhjmxCbkDVkIizqQDJdowaFRobCXtBef5kd/8Zr35ALEWlXTXCUSoRZ4BEWPjdj5pwMjt5bI7jrISqhvidaWKKCFcv/mm82nrIXncbL937HSbachsNU6cjTrAI2x0ma/DigRPFZjlpjVjh4TO9Ej2PHalDKhS6qjhhoONsC6C4BYsdRzQRXok9BeD0iS+u4Rzdmmej9AQRzLuQUuJoVhBtSwQrRTcFcRbOXDC20WqKknD1vaLFSlkaoFcauRPG9LplKlQq6dATIRcROexfCbbV2t+rpGqksadqFGlusiLhg/uf8lKRJcT5G5PjnAL4q1rrtwB4H4C/RERvrdju97XW77T//Y0VnHf1FjjNXcwLE8rOWfkbGY3UVVcOZGMaRBwpJ88z737mGqfpOPvVoNZAuv1I8TDYic8GA5EiQlR0Zsg7Q8rGt77S8wl8Dx5+upwcKEqpQoSH0FxzYSGp4yzvoYQMisIoHDaSIa55HGei6VzlqVSNOwg5mwlal8Kvc+1LPsGKEWcpK6iIcFiBOI+PfbLYJNmoRW/kxNI/926MyCS3nBq8CLz2TOU+Bo0SXwjd0AG1S5NjvQxgaKlY9LUs4twSKNgg2bLPr/4ZxjO0vKfZvCWUlzV2XJY5RxwpN5FyKWx0ZXKgd5wJQG8OxFkp44C/ED3ovuvufzVIIjOTpg/dj1IxfhUQZ9UUVA3bRvze86KRJ2d5OYZ+ZPr5OO7g77/1f8Gvvvsf47vp72LYPu8cr2XtL360OpnQIfd31m92Ul5OjnDO/QKOs1g4H0XViDNbnA+h2KlVTeTK8259zoz5+4XI97kzfS9z5sasmouN07D4CW/nwRxzjjTL3fyV1TjivK/nwBte+koQZ1Q3LycSg1anqlFlTLHL88VfM+PU+7/zDclzLjrOzHEOqRosCwuUKUsvbn3Afb7v4DM43X8WOs9L18mL5zeS3fZsrrW+rrX+nP18BOArAO6Zvtfr1JagaQDTkSTZsYhQmvRXYWSRnSRSSBWstcYAACAASURBVBdAnN90zjiIZZSCXPEIIk/ByLVGuvWm4mHwUuNNxuGCd7jKiLMvUsCnutwRVf76z6JRcLZzRpwzXSqFzpMnO/lBcqC1oC+ef9x9PHXyPHSeWyqCdZzT2Y4zALzjvmrZNb7vKjOIVu1ut22MpATJGQsYI84+5Gm+ZyRPqmp0UiNHNzryjnPaXK9974J3q9HBlzvv9T9+4Z9U7pPnBTk6MVCfULu0OJi2mJFXlW8JSTqLOEvH+STZmknHaSXTee7TbLm0vfnMoTlLLs75GbK+siLUcpwjRQHifKKqOc6xXZi+GHnEuXfwNdCk7yMR2owbzDctcpwl4sw5J8ECWdsFCWwhHC0QWGs8RrC6RhIneHXtbdiLtt0iPonU0kqyzTiq/J5BhzvsNzs00NNW5tsvQOVBzgE9klSNQqQBKNI0/DzJDrPLnQHwonCcz/a/aq9XB+NMlcVpWU3F7BsCPpNMu3epqriGTCRVYi7jvKCqZ7GI1dE0DVXD00Lu1HqZyEZ2dFnDeva+ZBcTxvSa4Dkfh8nbQRLuROYd9IKFibyG4+Z5XOm+HQAQ6RT/zud/CD/0me/F/YdPh8fGNyBVQxoRPQjgSQB/VPHz+4noC0T0G0T0tinH+I+I6DNE9JmbN2/WbXZnTDrOdSVkK4zDXLW/cUfHcmjQLONBIIm85vE89m+946LdP8wMVwR87qU9DNPMoUKAmXzGp95cOs6VxiMO+QV4EiuoasBTL7hzXW17J/zC8DlXdIMttQmDmfHU/A/NNcddY6exCOyUnnLvHCZ2kG9mfYyPbqKVRI4bJvl00xznb3/b+drf6sK9hDtM1YBPDlxKjo6TigjY7CTY7Ru1DJ4EB0LHuZMdAtBIT7zDmTU2akNt8t0iInx6w3Pb8fQ/BtJRaR/mPzoTi6YTeMeZt/i2t5wL9q2zbMtP4s5xFlSNfrw5E7FrJ9HSk+ADpzp470Pbszdc0m6n5HbDViCMrJ6zIgLVcJwVEdbJj5Unqld5Tta9Hqg1nGwaHW+lU5ze+7yLRHDfZWWNEsd5UgYz5Jjqwv3EiDMXU/AXxOMj/xtH5rye031n+qfUSL/T5p3D+du/SNXgf4+KFWILJjXvpaIG83mNg2UO+Gzs9dvvPfgcwEmBises6osNEGdRNTDX2iGbnBzIqGuljrNArohCjrNEOZdODkR1tJnrD7BSzZ16A7i9l00OdJ8BoCfmtkLxG37uBEI0CZP0+ThVxaN+6+KPQ5LbtgZX8D3P/CfAwVX3HdOr3ki2MseZiHoAfhnAX9FaHxZ+/hyAB7TW7wDwPwD4Z3XH0Vr/fa31u7XW7z5z5kzdZnfGlpCiAxAMFFW/crfpNWM8fs9GzXbLW8RISqQWcpzZiitFRYRPPb+Dvf44WKXnGji57yNA7KXHXovOYxgZGRzmmqoqxFkZxDkRq+/d5r0YwoTuN7MdbOT7wT7sCGS5Dtum2QtCghzmnTpBEeG4c6/7c3LzBXQasXWcdUjVaNQ7ztOsnqpx55JDzPGZe7uEjrNd8PCC5oFTXez0jTPLg/Ig9s+jkx0izzKkfVn8ZD1UwRAmqQOKCF9Ze78vjHCyA/zJr5b2KcnRibbvo11iUFVFAXh3+TT02j3IyISV48Et4Pg1JFYrNqMYI9WdSXWQ8m+LWiuJcHatWrbvds2CtzM52nXG/TVRClFkylRTN0ScJ1mOX/38VRABG/D95bjGcSYiV+Ti4JynZV187fed88tubpZxcmCB41yhchSo58ADFxF52lbgFBDzv02EKVIqWGSw43Un7F8BUwMAgvuY102rSqRTBPSl43xSTg6UiPO4gDgzKsmH/qp6BMPIjB9r49dMtA8+All3pdJxHkedYA6S50szSzNT1Zxp82748UdG0+rGrEWsbqFiHOfcydDeMWEAByAtTgfhed/t1RPFuY5vBCCEXIrK5MAs8dGmKkWXK7134nfe8ZO4IRIFG/kA+ORPBsf+hkSciSiBcZr/d631Py3+rrU+1Fof288fB5AQ0enidv/abbScFB0wHXHmMbndiPBND2zVbLm8mRVnbkOji2c8EIX8JEWE41GK/jizk5sxrTWypAs88X3mbyj8z+s/Zo4BgWBQOWGLHdxAJJ1iXIk8r+rsOORVZbkY4CTi3Og5B4EHYOY6funqAT7xbHWkot/150pvPY9uM0KuNZoYQVlt54lqAtFilcPcPdZMvqrieazSDJLC7bjgvvDamhERTvca2Gw37HFNCBsqAVpmwaegEY0OoSXi3KxHnCUKTgCUivGbrT/tN/j8L5T20bogTyTa/hit4HhV98P/lq4oinDUETy+l32C4jDZRI7ZyXXNOLqDhIvbMy1QoUWNoz0fe/y8XdwSSHCcs/4OPv3iLl7ePUGkCOvCce6rXjXqRh4R3rn4Uff9Q9c/DpWNTRtZfiMjzpLjrLUOEpGc4ywcM0Z0yfYxbvMiEJDZ7bIsR2IX8VHkef13ynFeJmlrUWPnh/va/Iiz/8zPkIhwHE9HnJtS+7wgRQeEQFIGhStbnp715PX/I9AernvscSY5zpKq4SkJpnKgiSCwFGtx/AtVNTzKrNTqVDWqboE5zm4xc4feAW6zZZJbgzkbCBHnAlXDSx3mJceZH0Ax2mUWtYTLZz6KX3jn/4Zfeevf8T/+ya85bUCtCypKbwBbhaoGAfh5AF/RWv9kzTbn7XYgoqfseXeqtv3XastynAm1K8pFBrJljcNCjXgxjjNbkRtLBJyMU5yMUgBmsPn1L153pa3xsf8W+M6fxm9/6P/EHzXe5zogTz6EqiQ6cpJ5nqOGQKpqe/hKsAdXDqylalheo1MAIcL/+qnLuLY/qAzZHwunSe++6BDnjpboxvKV/WqpGlSmrqzSWFIOWJyqAYTyc0SER856eakkKvNdo+FOWBCjte0UU4rm+LLw78jvtr7Nb/DiJ9CahJGGUuhOtH1flznO8xqBcNQRmeMve0bZINlyOsjTDt9K1B3vz7djy443iV3YPX7PhqdTtTaR2SkiGh/isN93pa0Dx5nWanie7LACu+c+gIPEIFqtyR7aT/+8W5Rrbat/ogJxlgnbDSFHZ0/ouJc22qJ1ucy1pGqk1mHmSqt8vPgOJW6b67uzLww7T4vmOARUDf6PgJNEIs67pf2aNVSNSPlxmI+sNfDF89/rtnn7jV8FffofWCClHiWNA1Tbq1vJhQhZ5zSOVK0kG9+XuV8fPY3IR0Nux/iZFS1S5Jz6ZdDgeY0XTcss/CSoBwC65ylvlRxnAqKAQtMCVOwXMhXvn6TEvLT5PpwkFjjsvwZc+5w79jciVeODAH4EwLcKubk/Q0Q/TkQ/brf58wC+RERfAPBTAP5t/XpcYixN1ahZdqKeA7VK40EjVspk8i5ojDayGcc5c4gzAHz52oFBhnJtns2TP4SdtcccNUSJ4i4GwVGlc+RaO/6kOQ/hWuTzSLeGIeLM2qsAoEuOMwASvDXu2AJJKL5g/a53mmj/MrqNqMJxXizSIG3a4HUnKweCPAdtmQIorEjCg/sPvdc8J0WG+6qIgK4P4yWD1xAJxzltn55K1fDtbVDB3fg0rq2ZpBHoDPcffDrYR6OQ8S765ZFuzT3ZlZZuBByKdwCXP+k+njROC63S+hO0b4OqcafNRHSW21dKqvFkD6VwSELTfLDnFlnrEPQZ1at02JyqBICcFP7w/A+631qf+klEQyttCOs4a12qHKgqOM6c3W/u2S8WYqUM9aMiOZClyrJcI7FFlTj6xQu6OzEhVSUtr9pc9E0Vyh7PsR8bo/iKCP24mqrBz6cRIM6yaqBEnM13udZ4ZeObgEf+Tbdd9H/95/gB+s2pRS8agaqGn4tlciBznBtRfcltiHFNAgxFVY1l28gcu7wzo9uRurOIs1J+3lvUilJ68YbkOJcdZ0XkKq4CRltbLjjbjahEZeM+BwA5Rbi86SsGc8RP629AqobW+pNaa9JaPyHk5j6utf5ZrfXP2m3+R63127TW79Bav09r/Ye3f+l3wMblsOA89uDpLppxjZYn3f6qdpa5bPFoOd6WIsIPv/+B4O9RmhtnFFaGLveyUWyZ1kitox4gzlRGnFn54/9n701jLUmy87DvRGbe7a1Vr/bqpXrv6emZ6eluNmlSVM9w50AjksPRYCiJoCnJpCzLAmTBm2wYhgADNmTDEGDZsCUatAHZokHDNg3QNiTZImzB5gZSHO5sznDYPb3UXq/qLXfJDP+IOBEn8kbeJe+9r96tyo/g9Kv38mbmzSXixHe+8x35ohEBH6aecd49CgPnkWWJEiJoKaNpbzlWQ5FouY2Sdq6UJj3a8Brn9N7X0W0lyLVGr1gO4zzpPq8ycCbA2RHNXxzIjhz+s29eMwVsShFabL+25dmI7PA60mPBOHfPTywOlMU8LIX44x3v6Xz1XlhlPaZxFvf+ftGZ+zv67wrc64rA2TIeAHC/cxkQBWNV6CxQHLhqlBdA80BKiRLls0L7wsObDm6agJM0toLAeQux4EE5Vs8wwb92/gt4YBcu1L+HK//877hC0EIbL2fpQ28Y54hUA35c5aIoDhx99sl/jMceHidlcSA7Mqy6eHeVkGPhPIVosnkOuf8DRskGRrYWAMNDYHAYfE4yzv1kc1weYxefRHYxQgT88N/HB5ve2eiv6X+A9OhG5blmFYwz66PtYTDMTW1PouIFcnKRJRlnnifcfusWB06Y3zk7k8yZCZjr+Pb/6ko15McSMcbj4DpI+0Wsk/MNw7lyq5Nio22C5ecvbOIzLwmdNEJdOQB8uCV8Id434z5nndYJTedAiZpSje9+5WJl0VCWKLRXzFIx45yl9YoDiSgoWpK6LDP4aQxGhZvgGHmhnTREiWA5NhEpsq4aoomIIuAj0ZZ1u1+q5C1EU48xjbNni5yrBvlrAYSDLAAcbHqpRmv/6449lIxzP9KhalZMGrxWq3H2KfF5x0/DONsFiir/jSzjjED/lh1dR7vvlVbFxvnKBRuJSYMIrsr8GzufdtuUuwgSqGRHFzLOiia7Z3Ayq7yNIsK+lGoIPOhcdhr8STBSjdMZObvAucZnM8E4s8YZAO6JZhjq+DZyrbGtBkhtTcBIdVCoVkW62ssmCq1BaQu/+crfcH8/97v/HdL+vpNq8Bgjv5CqkmrYYMEFziDDmmtuhuRPiLNSRKaYLLVZqUQpG+BVNzFZFFpWVa0IZCMgTpXP+nh+9mUf5EjGOUkUDpLxJii823bQbnvTF42xe469poF2tbuLn331P8et7jUAwAaOceFr/3PluWaRBitASNwoIozyApntypsX45IIGRwSScaZKhf78yDONxtwzUHduoNZ4LMN8++/bAqAtA107WJKF+gKCZ15jEuMc7KBj1/ZwRtPx52CCHBFm4yPNj/mN+DAuSzNWwM0gbNETanGJFzZ7eLzn7w8fcMFwBNIa04fZ0b5nSMCzm60HDtoGOfCTXCMUW6KejRCZtFMROUBjF01vEaUQLiT+gKkzf714DO5nXQTRSWpxqZjElgCwi+2KToxm5W1jv3eFeQwwXLr6Dp6agCtge6yNM4TpRqre9X4GtRx1QBEO9XSZxXBTUrY8oFz6+BDtAfCVaO3N1PLbROcGx9kyT6dPfoqUj1wk+zYpCbu/b5lnCd9S07fQ4fepkQlxlngoHsp2tWqjEVcNVYNXijWietDxtnfs3tCqpEc3UahgW0SPq6tbRu4joOZXhO4WmnWpe/EzU1TYa+KAfa+8Y8AmOxS37ZPdsfTQ6hiYHeWmIkdPlhIEsKwKFygJltuyxMK7eiMJpZlYy5YXNHryePSKsFhGWeN6hzPBJh+EfFggiVdq8Q4M1hjTuTnFDkqjJIufvXqj7p/X3z3f3fn+vNf+SA4RiakGv0xqYYnXlhH7F01St9LXA/WVfO5LsVVY4I0ptDWF73mOzkLOMNQJ6Mp75ODIEg2Bv6+M4mVCk/9voo3PpJQ5Au9CcCN3gvenu72HwKjvmWcm8B5fVFTqjENq2ao2BMzrbmKLgcLRMC5zbabhLU2QXKhddCmNC984wKWVNg9jAWRzPrISVkRcC/ZA/cS6g1vA6NBsH/AMrlB4Lztzo29YLmi2nRR0r6DmDyNJMPtzKejtg7fQ6GBXhFnN+bFpFX/ShlnkG9iUuNZ44Cr/BwoIrSZcRaBc/fu7zsXkqN0B0nSmqnltiJzHRQRhukGcOYaACDROfaOvu4mNQ60HMS9v1e0p7IreaEt21lK2YPwoH0BI9Ue+8xB54r3oZ2w+06WrDz1XgcseUhUvUAtS0KNM1/iuyJwTvu3URQau6IwcJBtu7R8GWwP5999oADhDy58r9tm7/1fcJPr8TBHS5xHpzjyO2tviptJbv+j3OtaueNheQHkC9FMgM7bKeULYtNErSRfbBjRFY//ki2uqaflxY+5FoQHabwJCgC0cxE8lTTObj/8TJQu6Ttn34Ymc4937nwFXW2epd947x4GwlElE6z2sFQcqMRjMMwLtBLlyKPxMQxuETXmqrGEwHka45xYxnl1dnTmBOowzvzMBBByjY3hzdL2FNgE9pONqRKUslQjTzrYb1siURfA7a89nhrnRwqv/TngR34G+OGfAl763MM+m5nBrhoZF3LNifLDr4iw5xhnw+IMOXAWk8uo0I6JJiKhZR0PFImMvZx0WSAiQGXYT0yqh6CBB16uUViD/CShUjZgU6QWOSVo9lAuDpQTOgG4lfkAsHf4PrTW2Cy87fhRVt0ZcBomSjVWqaEku8ggzG9HZ4MKU8QS/o0ZZyICRMX15p3fdj8fZmcDeUwZUnPr/Kz5Ulzwerfzh38QLJSqpBr7xXQfZC6U1CgxUARoUOCu4vbbMxr/T1zdwRO7vbG/M06zxhlO4zz/R+XzmSo/jkjGuXV8G4XW2BHNT4bZTiXjrBRcG+TCBjVaa3z9jC8Q2rn5q0ZXW2j0h4VrxAIAPcjA2Z8HH888d4UrcuIKfl1iHom47sFrnJloAMx41ErUSibvgZUSrBLmenjpWr3Hk9x4miiKMs6sHW8HMgrJOJtnh0Q0Wb6k/WwH2r73BI0XhqabYKE1jgZeUysbUo27avA84/sX8LhffvYJ0tVHNECxn100G8DzUAyc+Vrh0O8yDHUIEzkWu/skxvmNgZDjscY5kGr0ME2HJOUxjDsy63frDwA0Uo31xrnngZe+D/jEF4GLrzzss5kZTuul6lllxYzwN9tG9E82MB3mBQodViLnRYGi8I0XpL3TuKsGp0nDVKJSwF0h18C+T9nxQGgY57A4kAcMrqbmQZ1TcNGJnAi3UqHVfWC6F8nA+Tit36BmMuO8Sjs6L9WYN7th2GpuW1te7JB31djxwWbW9x7O99sX3T2I7p+8hMWkgcXdF+/Y3tHXvKXemFRDNkDxgXPVUJsXOmA75bkAwP7G08H2N9LLOO6cAwF48mwPO72sYs/A02d7p9JZg2AcHOoGTvL5ZAkDEDLOrcEd5AWwQ8LxgKUakYO6d5F8EKE1cHvjOWjbnbNzdB1Xcd10DRzlYeCspb45DNBA3vKLZVtSqiHPx0mZyDfM0NpbDyoiZMlyNK9lDEc6+E6rAC+WEuXZ53khmeKEJjhr6GpXDV9sKQrAI8fKr7zhfn6RA+dC43A4cr9v5WFwznem7KoxFBrnIsI4gxAE2ryfqmLC+VG9UNXQooX9qhhnT1Yt8nmHisCZx9J06LMNx2pj6vUr/1kDuNMV4+/N328Y5wYPB744sN6kORYwwVjLbLVNAGEY58KI+KXG2Uo1uLiMWWaCKTAK9kms+VKwmTonD7ibig6R+74Vp9OIlYsD25vOhocr9+H00F5TVU7ZEgG3EuEOcf9daA1s5ffc7xYJnH/iTz5b+bfy9VgqSBRHzhs4k2dxYguojH23d58q87cAgP32ZdfuNgaZYbi2t4Hv+fhFP9iefc5tt3P0Dd+ynart6I7Js09V35Rbu8cyDloD3zj/7cH273Q+PnPA8V2vXMRurzV9w4cArYHLux28eGn+zpcyuJMT/V34wLkzMHZ00opumO3A+zGE8BZh5GRahdbItYIWwdNL+DpyZpxFAN9FSaph4ZwElLEj48A9EVKNYHFu08UEbhRlbOv4e3JmZRkNMcoY5MXKA2cmeL2z0fxjDYEzQiZbeBhpgsJ7LbtquH3YrGMgTSidigaQX37d/fup0VcB2K60knEeha4aWrzT/KIajXOBLCVXiFoGL6r4Y1LjPKogWOZBK1GV9SteDrRKjbPX+8+LKBsuA+dhmXEO220fq95cCwK+OwHjfOePGo1zg4cDTjuZNFmdF6j8b0InS7DVSc0Lr41Uo1wcWBS6wsd5XONsivbKPs7m9/cyETjf94wzTwapImAgXTW2gn1wgSIHjk6qUUrdKQJupn5gSPbfg4bGRiDVqB84b7arOw5+/lNXKv+2KNif1FyveT9rrOxig6gi6+OsCMg6OO5eHPv8fufKmCdquA8fkCfKZDJcUHP2GbfdztG7QRo12J1YNPWnaNBTRRiMCheshYyz+d1XL3wviq6RBxWU4h9vf8EFDuuMQgN7G208d37++oy/8hm/iJEaZynV6AzvIi80dhApDoxcukR5DXIhAp9CA3TBV9c/jz9GXnjG+X/59W/gQX+EDS0CZ8k4i0XzMOeOZp5RHH/vjWwHxC23uQU3ufueJWollliDUbgYWAVYW+zs6Goxzt6RI1GEw1R0uD0Mta7tCsbZfV6cQ5Rx3nvR/Xx1+C6AcalGJqUa6Ya9bxQwzkTel1vZxXs568eFo+b8vMbZy3wmX5dpePXqNv7E8/EmyJL4WRVvwux+LTs6ijDOG34u7g59ZpGnfdk1sJ/05l54EID9tvCLvvvumAR0HdAEzo8AuNAhS+oNmmODjTKNHr77lYtgO7phXtgUut/OeDvbilnyGtlXrmzj7ZfOB/vkAiDZ0liROfZ+JqUa77sfuZ2uUgSK+DgDvjMRp+nYMxYYd9UgItwQgXN6/10UenlSjUl44eL8LOCsYNZYBqnzwOnXIosd4+Ns/n24EdEGd666NGnVuYWFWuIZPesZ+u2j91y7+KDiXesgcGa9Y9Uw20oVjoe5+S5jzKP53CDp4uBLPwt85m/il7/7f8TXWi9ay6j1xiLNNqRbiFyA3xGMc3d0B7nW2BLFgcPWdiXrpMRzKf9baA2IwPk5vOsY53aq8OG9YwxGBXo49jtrCz9peCeBUa59URtrnIHSe+9ZaJZqAL4Q9AuvX8Xlnc7Ehhx1MTwJxpl8gCgZ1rn2YXdkrqPyHd4A4CAsDmxVdQ4knwmQwWr5ODJwvjx6D8hHJnAexjXOw6SHUV6Y4nchxyCisZbb5e/O14Z/5rmhyr5uXsjanjLYjm6epjTzwiwiq89h4mcpMuZt+A6xvaHsGmkZ54EgmdTmxPGm6m263xYuY/febaQaDR4uHDs7J8oPvyJCt6Xwzc/uufT2qCjc4MRgVw0iNnn3E1I7LetAObhXwcCnCNjPhGm6kGqwdnqMcWY7OhI+zojoqcoaVwC3Un+sZN+sdjfy5RQHPiwQYCeB+Rs58EIjFnQTwbpqmN8fbl0b+/x+9+rU4kB5SgE7uXEefdUFYHWTtr2vLOLB6BhgI/6kBUonyySyROF4WAS6VndskBuki0ufBD7zb+Lw7CteE7/mkTN7FC8KyZDdhQ9Ye6N7KAqNLS2lGrsmYIscl9PhSpHNavjAhS54ffsz+j3k2tjRdbLELcgDjbMInFm3qqxUgwMAPgdZQMbnwWOBZy69VKPXSq2MZIGLVoGTKA7kIi/vqlFvDmDWPlEUjoPWVUMDgNaVrhr8rktLPCq9+wCg29u4SSbjk2IEfedryAsdSjWExrmfeMZZBsfMICf2nOMNUMIgXtZRjIr5u+zOg8KeW1VGZhngZ7/WvI/IwiFgnL3lKLvSJGIePlIbtYor94PA+b3Gx7nBwwOnJ+sM0uU0jyLfWpiINc7a2d4xWONM8NXYVZDpWpfGs2m9/ZYMnI1Uo3D7tYxzySrQTZZ2v7H3zgTT4QR6R51DTua7qcObaOk+NoXG+WhFjPMqwTZLzPbM9Vn4ADMm2XEaZwB3z70R/H2o2ri18aKT4cSGvrJsR06qIMJdYQ9IvGgSWYOgKLS16di7qm+ZWcZZldK6drfWUtFbWrlJTZ7XmmKYF0spQk1Fk6I7onPgxugeiqIIAudRyzDSsSvHBcG84OaAFQCw56UhV/WHyPPCFXrlhblHvSqphkhPj3LtAne34CotmFn2axaYhZOMJIKejVX/LwNFsfriQPv1HJlQ9ynmdyFVhOMsXhyYFn0kdiE7ogy5sHbkzyfKX395Nu7yauB95aVr+raxojwaVBUHbpgeAIkKmlqZ++11xJzVKH8n+bOUgy2nOLAamqUaKxxbpExn/s9GpH09n/2VjDOTK4koDjyi6T7OwfHsfwfpJg6VfZ9Hx2gd32w6BzZ4OOABpU7gXH7pulmCH/vWawC8fnaUF8GKHfCNKoh8qrQK3AxByknYBeJ+RKrx4f4xLu92jc6WirHWu6ynYx/nciEYMM44KwWMoHAgNFaXi48Cxvl4AY3zw4KbEGowG/zZRI1bGikSrhoA7pz/puDv7229Bp1kpoVxpZPJ+H2R/7wnHVXuh00QAIxlGqY93+3ESjWIos0nfvXrd/D/vHMz0OP7oGPirk89Rvb9WhSyDqGPNvpksgIpRshGB9iQjHNrp7L4yWmclZ943bq7ewa5Dbq76GO7uOvOf5QXyLUOGhOFUg17noktDoTPeOlI9onvsemw6YsIExFkGjZ8+bM3Ea1c48xNOBQHaTUeAcM4kyNAjlrjUg0C0C7CroHBedh7kFipD79T5cuqoXE9EWTJvXehtWCctS5JNboB4+wWO/DB8iQ3pZBxtj8rLMWObhI0IKQaqzmGsvetTst4KfFwn97w43F3eA/cuMHJ+cR4tqo6LAAAIABJREFUfDhFqjEJt4Rksnv0vo8rBodAkVd86vSgCZwfEXCQmNVgN8rvHBFhq5PZn82+h7kYuNznwq5wk3RWzA5Ij1hmJx60xSB6/wPADqK9VgIiQo/6/u+tTcAOzDzQB61dBYzm05+TGWiB+x2fKnopfwcJzIt6lO4EDMq6wLDGFcUeM8D7jY5nHpyPM4DB5pP4xfRN9/dfv/hDTqZTVRwoW26bf5v/8tYycKZY4BwwzluuNXRViJOlZKQaKm5H1x/lOOiP3ETjCqrWnm+G1YEugXFWPsugNYJmGL3RXWyK4Cl3nQPHrx6RKRr1bKAITokw3PbV9ZfzD10NhJFqlOzo2uNFaL440LgKcHbM3Hfx3vMiG+YamUWVRpKE49cqSC/zDq3+yTKLPwrY3vk+75nLVBEG6Q6c/VH/HhI9BAC0hnFHDQBOJmKa8FSPRVoDN0TgrO+9CyJygXP/aB98N3TahabU+25rBPMHZ5W8vdz44t/JRgA3cCREyPPVMs6JvZZR94olgWU6tQJnRDJFadt5pivkwLGRa5jXlkKpBtWTagDATSGZ7B687xdXP/sXgL+1B/yHTwPv/JNa+z4JNIHzIwLT7IFq2Z71JrhB8GQ0tBOOtB1jT15m7CZV9jI7kCSl4kAi5EkXR8q6JRRD4OgORoX359wkUSRkU7bMcnFhmtbjA7UgJ9x3KbTGg45PE76a/5b7+UErLGhcF/D3UjS/ET7ZgGGjneLiTmfsb63UB1FEwN9s/zv4pc/+A/w3n/4Z/N6ZzwKA1bBWaZxjxYH+GbgzNXCWjPMWsnTy98sCxnl84TTMTRGSY6EUn+P6M87DfDmMcytVbiLWWuNQNMPoju5gS/t7MmrvWDZ3fD9ed0rOIjAoLhaB86XiA+cMNLJSjW6FVIMXOsxoE/nCNMM4j7upMBPLmmutgb2NFs5uGM38qrq7tdOkluZ4Hvix0F+buUGeQEmUQpIkgHWeAYDOwARQ0lFjUAqceXEi/bHHsoD2/29Kxvnuu+i1EhwPc7x/9wg/90u/77dvbzmpIEts+Dz5e3N3vnJNgzsn966HGuc8Uky4TLA1HzcSW8kxCO4azP/ZCj28YJ3ZitAxzkKqcaB6ExtuVZ2RBnBDhYyzO/2jO2aL47tAOr3Z1cNCEzg/InCMc4204E9O8B8mmGX9MC/GdIDKagSlf2flfsi3BXeMAfzA8kDaHz247gqdFAHbEMxTx66GybMaRWSyBCpsqTSwv+En7E/nX/GHXdPAGahvRwcA0Bp7my28/eK4E0qrxMqNQLhz7k3c7j3rrjnrBWOIFgeKv99O/CCtHsSkGtJNZbpUo5UoHFlXjdjCaZgXOBrmwXeCZdvWn3Mel8XUwZXdLr7w+hMAzCQnGefu8B52cq997HcuVOpqXXEgeS2qfEok43xJ33CSoZHtUhoEzmWpBnHH1MKxpGaRr8fuO2DlDPAdAzWM082rV3fsudbL1kxDO1v9FMvBocsa1YubbQbP+PErRWHafnQHGqGjRr9CqvGTbz/nahti45HWOgic6d676GYJDgc57h4OQX0vy9OZIVS4eZYMjpV1f3JZr0gDFMmqOg08WH+/YsZZwc1hq2Kc+d2rb0cX+UNPBs43APgsTijVmI9xlu/+jcTPNb3D9/24deQt8NAVMcEpQxM4PyJgXV8dqcakyZYZZ/Y/lcyiIsE6T2OcbeD8XR/zDTCUGOwfZN4GBwfXXWtcpQibJFO2HDjbYEf54sDy0aO2VNDY711zv7uqP3I/P5BFimsERb4L1rdVeIpOQsyRxOw3ZJxhjyOLfHjxk1fkuctds8qB9J3E33cl2q07SMa55QPnKpYzLA4su2oY54njQe6eVfcc0ep0iOsIzzgjaIaxN3wfHW0yQCPVRp6ZeoPYA6RsOtz4cvv/MvJNL5m6gNtusTwqCuRlxlkGzsw0kpdqKHG+ZVcN931KjLPcgmUOy0Z7xYWBgNe5EhE+cXUHb107O/1DJRAxCeIL2sJCMRPQdCocNQDvxrLRTt37OcYAI8I433vXWarePRogHflj6PaWeW8LjUQpJysz+yJ0W4nTZeexBZNgVbkehs911RrnxMoS1QrTWZxlqLPoe/HiFp482xv/g3DW4MJQDQ2l88DHed7iQLMfc48+JCHVOHzf34U1CZyrc/QN1g+WIVzyLo3GeVTYwclPfFqbVr3MdqQTjs06x9ee3PWTGhESO+gdZmKwf3Ado63C+skCWxHGmSztxPvVGB+bTPDtJy5mnO+XWi4zDtrryTjzhEAgfPOze9M/UEJZE8pQyqTtZctawyxb/SF8mrCqmcArl7fx0qWQLZTHuqWmMM6ljpGy0Comq24lCsejAr1WGi0SY8Y5XLxV6P0aoNA6CJwv9b/mfj5un7P3Mp6KVmQ0zkTWfzcNG9vkG75I97y+7RjnoWOc4y23nSTAPneScQbGW24DXj7AGmegnI1aDeO8akcNQOqTTaC+MUF6V70PqZNmxtmPJd3hXRBKjHNSZpz9dedxofxckGV970g3nfsfgPQImlLcOxwG3em0ve+m0Um5xgbotRKXXYq13JYEvPyLYagXb4AyCTy3JbRajTMBEyUTVeCgeYw42ZAklmGcCw1kwunkiHoYaTXXmKnI3CNNhI9IMM5HH/hAIwicT681bMM4PyJgjd8yioMk2OpsaAelcko+s3ST9HGO7wdjqTEeqBUBhy3xsj74yOodzT63tHDUKDHOiQ0aY8FfXvK1JViN80ZV++hLY79bB5gxp37aUUevhrmeG60Un//kFXec3BZugY8Jcw8O+rmzMJRQquT0QuEgfYv8fU+ijLN3PEFn1wUiVYVcrVShP8xddzgpH+JnsD8qAhaK2bqGch6HkWp45uep4z9wPx+19hz7G7t0rHGWUo2iinHWtzCy6fi8KFBolBhn2XLby8OGtgEKSzE029GVzoWfA9mBTgZ1dZtITMO4n/3ywdd+EfcGzrpwFnGMcR6ZgKascSbyBZ8k2F2eE9xiRkgkisJkKw5tlpF0js3+DRCAe0dDJCMp1dgUGU9zf5V4d51UQ4WOG+KbiUWy+FmZ7NMqkShynQNXp3EmmyVY4rwvGWfrqKK1RioWTUdqwy2KZwXLKosidFXpHX1grs/gwNQ4AUDaBbLuYt9jhWgC50cEPGjWkWpMAqfWRnnhJpzguIlnOyb7OFtWtJy2t+zGUdsP0sV9q3G2HsKbUY2zl4hwNzL5DsvB1n0XyzjrtIMbnWtj53iz9/wMV+T0IbYomQdl9wkGZxGe2uu5f7NrgfycUsD+8XAmpqtsXXaHdryv9vEdYHgUfuBYBM7t7alG/1wcyHp8uTVbIg5GvsKV3xtmnRuE0Bq42/ILymsDX7h11N5zuvqqhdeo8K4aiQo7hOWbfr8XcBt54S3s8kKjU0jG2WctZNOHUWEWQU7j7OodwjNiSVkuA+eAcV4NK3gyUg1y6fq6rDk7FMEGoYlCoHHuDKxUYySlGltuTODzkI4XQSt0NlOBbwxyv+Pv/07fZJvuHg2RCjlAYRdMhZXuHQ+LoMdAt5W6rBEv0sJr4+cceX6ycHVVcPMb1V/QTINh1Bdb9PEc7xDROBcayIKugcZbe57vxYubXGvcwQ6QGAer1nAfneJgbWQaQBM4PzJQ1gJo2dZHHJTllYyz8gzQFMZ5PJDxbhzHLS/V+OM//hreuX7faJyJsIGYxtkfkwdleXwCHIPFcMUhRHi39/Hg/Aoo3Ow9h3UE2+zVZTXK7BujnL6WgQngG8wkRLh3NMTmDIEzif8FgKEGDloTvJwDxnl76sIwS8gUB/KEXnomOZArf8dHgXBeDX+mca8Vz8Qcts7ZcSf+7rOUggNVE2T5syw2Lrpcxxncg84H3lVDa3SLCh9nwSDygpGDaV7YjTHONrh0zGUpy5KoNZZqULXmf659OAJEmUAs0DjfhQbQGYpmUdlOUHAnrfCcZpwo2Ia1zEqFHeS2+ybbdNgfIR35+66zTV9DoxQOByP02ok7RjdLTLZTceFgeBFC4sQ/F4pW76rBrcCriiSXAZ95XeJOBeOsXfMbHch0jpONaIvzSSAy0q2isKPAzhPub2eG15vAucHJI7ETw7LN9rkSnSe+sl9v6hjnySbsvJ+Q5fHprGeueWeP7OgGDga5ZZEIG4WQanRMFbxnM6xuKvISs72VOwfLeisC/qj3arDtne7TyJPTa38zCZwurc04Iz7plo31fdrV/JdZ/kQR9o9GtRjnUa5xEOkc6VBinFtTigNbtuV2zFXDHK8oPYNmNpV+rw08iAh3KyRM9zuXnb42nrHwreDZLlEOH5S0cNw26XoFjd7gpmORiwLoVEk1OFiwUg3WOLt6h0gGJbGMMzdyijPOy7//J8c4j79b84DASnUSUg1PZnRHxo6uM5JdVnfdmAp4qQfvz+tvOdto/sbPwn7b65w3Bx/xTgItbeG07ea8Dvo5Nlqp/d5G48w2nLEGKGWpVmzRtSpIZ5FVMdv89erY0VVCapwfeMY5HYbtts27XX3c8kJeEQEabmGM3Sfd386OPmwC5wYnD245O6lArxbIttYuNzCwSJVyab5JaXSfSpMDGbn/f+FZz/a2+rdwNMhdI4agEULH20fxZOE1zuExyxpnPn9FhH++/dmAUfnKpR+c67KcJvBKvu6dr+qYxtkAdxx7BGeqof09fNAfYqM9Xc8pWR/APFsH0gZwGuOchOdQRpYo9EfeVaMcDJUZZ3k+6844r+L0CcBhuoecsrG/3es+aTTrVJWx8MV7uQuc/Z0jAg5F86PtwQ0kiS0OzEdoa+Hfbm3J+HPex7lwhYKcEYm1Xua/O6kGIhrnlQTOJ6Nx5jG4doAWMM52wRx0kbsDQhg4H2c7blEEjEs1lAsavfMRj9eKCPuiQHCz792N2oLZ1K0tt7BPlSnu3ZCMcytxxzoa5OiU6izKjj58z50HeL2rNROYFFILaM+nwTHOSw2cI64aGsiEhOZYbTpv51nBmQfnzCQY593hdeDI21ye5sJAoAmcHxlwcWAdH+dJ4MkG4NRr+HfHOKtpPs4xzalfMWNT2NP0b+JomHupRqw4UHmmy7lqlIbBqMYZJhg4Vl3gh/8+vp48hV86+3n8+uUvzXhFTh/aqUJ/WCw08cc++tpTu3jtKT+AmUsZdmnkj90/HmG7Mx5cjR0H4SQyKjQO2+NV3A7HfqJGezt4vmPxfpoQ+kPbHS62mCp0kD5nuzxmxxqEIAJIKdzvPTn2t7vdJ51MK3bxTOBstY3FeAOUcuC8ObiB1KbytZikh0kvsA3gbEOiCMPCZz04aIwtqpQNLrnoWJesBEzAOONFmQMnwTgzA69U/WeYP+l8nIkCYqE7tIyz/S8AHKc7jkUESots8lnQQOMsFi/7ItO01b9uzwNoj/xiuWjvuN+buYbQbfnMVjdLnHMFN9mRSIJ77Mcex1CvcLXMEhKem1cB2QxoaejFG6BIxtlLNWY/Lo8HWtsC8x0/ppwZfuSOZc5hfkvFk0RjR/eIgH1Kly/VsAEosV9vmXH2AewkH2dmnOV7xvpYAMEqtze8g6P+wJnH92TgHDRA8ZOlXP3ynJiXNM4myPasB577LP7q7n+BTzyxg/O0vq9CO01wPMprsxpVGudeK7wmRGGqXcpDbh8MXBe2SSAlmGutMcoLHMpOVQ8+Cj9wXGacp2mcFfqjAkrF3UJyrQMtttQ3rzvjvArwO3Zr+2PYPfhq8Lc77SdxnnyRbhnSprDQvjjI7ZsID0TgvDO8jn2lTLMlYUM4TDcgl2SuwIvISS9k4FAp1bBjkIponKXf7zJxIg1QIKQRdQlny1Y/cbaL/rDA3cPhGOMMAF0R1B6locZZ1kSwbIOAsW20HavvZX7M3xxcdz/LAsS8vQMaeI0zAdhoGVa510pwZbeL42EOEOKuPgHjLKQaysxr7RW+88zcr6rwFAgzr0tDTxAZR7eBIh8LnI+SzbmlLrKBmta6pHH+CHjgnwFsnm6Hq4ZxfkTAg+byGWc/+bGeWCJNjFTjlcvb+MTVnYq9wBWwldPkjqVO2ziyHcoUCiTHd5AlxkM4LBLadnuUM58WQt2i4EYKxjSfoWwul1O65nerSXGfJNqp0fXWnfhjXRdj4FvlBj/4a7d/NJwtcEaolc4LXbIivB5+oC8Y587O1GKrVBH6o9y1hy9nQfJCB5ISvv8N3xwH36sb22Ex7dHWMxiojmOcY1dPkV9088I20Dgj9E7fHt50jDMN/GJ5mG5Awi3UbbodAH7gtatii3EmjMeBUWF9nMccflZTHHgSUg2vca7/HHOA+63PncPeZsu86yKA6o7uAToPigOPsx1PQiCicVZeex107LNSGhk4bwWBc4xxZtmDX9Dvbbbxfa9ecvPIbm98/KHSfCOlGnlRPBpSDSzh2ZUvZtrytUS6MNrjksb5WG1EW5xPPlcmW+zzIBjn3eFHgLQj3TzdzciawPkRARe/fOH1q1O3nQeOcbYpp6LEOGeJiTx2uhl2etWpeu7wJ9+zTqoCDfKRaIKSHV13K/ZuMc44v3p1G9/8jNn+5oM+fuv9fRBMMDcsCqSJwijX1mfaQFnmi72pAax0UDsptNME/WFe+/NVdnRlyIDXf878crOTjukLY5CsGFsGHpU8vAMExYE7TuNcdbqpZZwTG0CXzykvQsbZ23itroBnncELnffPvBX8/ua1z7mMQ9W1cw4KFBaHuX0TAsZ5d3TDa0/7XqoxSkqBM4TG2TLIz1/wxYNxxtnKBHJtsxHhM+RcIJaMk3LVABZjNjnlD3gbNSSZD6Cgsdm/jkz3AQAjamGojM+ud9XwrD23weaMheRbisIc4356FgUsezy8g6Qw+5ZSjbxzJmi01ErU2DXl730mMv8EFvJi7GHZwCoHf7aiW5VjizmG+e80m85JiJ5a4OV80xYHyuY3GyimFAeW/yLHgaKscR58CNwXY/9Wwzg3OAHw5PXs+c3pG88Bsiwzd5Mq29Elwo5u4n6AMU3Zj33rtUAOcCACqHb/ptXaIQycLePcThP32Y/2j/E7H+ybAUBrEzAn5LR0/hw88yUZkHVnG9uZCRbrIqYPj4ELAV3gLJjq81vtmY7FrI+G9d8uNI5aFVINrcPOgZ1tfOfHTEGR9I+VyKzGmYjQHxVjGtO80NgSWmx21Vj3mHk1VnR+YXF74zn8PWXqAPrZDq6/8GWXQTKB7DjYuUApbpYTbkWgwFFle3TbuWoo4Rk7zMIxzbtqGAa5fGyN8UCF33N22im70KzKVeOzL62eOeN0fZXWfBaQeAeIhOxO6F3PHXmpznG2A1DZDtRnpRwLSp5pBDz7rBQw0gnui3d/s2/qG9pCqlG0fafYVFHUuYdJnTMRxrlcHMj/5sLVlTLO5KUaqwKPyYv4OEfH0pKXs4ZGIhjnfrI5d0G6l0iRkGqYPWwPbwL33vUbN1KNBieBRQpDJkFONgDwhzce4N7R0P09syzDtGMrsm13xYblYPtIeDn3Brdty21CR3SrYgZEYpBrHAxGbmIe5oWbgKs0zt60H1hgzDkVaCXG+7YuZk25cTo3cNWwP5/fnDFwFsWBWhvN8VG7QqoxOAC0YdJHSQdIMrz+lLEpShOKsizsqpEowvEwHwuciQw7zpCs2DoHz6s8dYJ5Rn669SP4d5/6b/G/ffbnMdy86uy/qq5dQmbscKnZCON8P/P3fje/5bsNConOMNse+xxgFu1sRycRe54505Fb6UjZglGtiBV865nVFznx0n9RqQZ/UslATOiczz/wzW8e2IB3bDwXgam5pqKmBDwG+6Y491uyONQsmqVUI2/tugxDmihnRSehaDaphtQ4J5F6nWWDuwZKJn7ZYKnZpPqiaeD3O4CsOzm8iX/yO9eRDmTzm82ZGqDIvZo6J3ipZNp2cg2FArj+237jrYs4zWgC50cEyYomfp5sstTs/P/76m28d8drjtOkujhobD9TqnAPBfvQG9wyjDMQdhATjRAYg1GOw37utG5D23Uwj2icmWmSurx1T9ErRQtV7z+ztzHTdMtFWMweyQYjczHOdqHF1kT9tgguDm6CbLAsrehGacg6OsusEozG2ehY+6Miak+12ZJSjUbnPAkcC2lt3vVbrScwau963eqEaycD1WI8bgbBB2AAsJPftpZjGknfuzeUA2dmubk4sPz6xvy7Wco2zG3haKkgVupz1w38Ti0yB0jGmX2RAQDbV9w2lx74wIYtJGXBV8A4k2f5yxk+L9/ReFB21tBFiXG2RMkExpm/++40qYa4335RN+3K1IeyGucsUdiaweO+1jE4+7KADa0LZCU2QmeNn//KB0gGQt+ebLoF0MR9l861sIttd7hzFd16N5vAucEJwDDOqxkFhrlGZgPQO4eDoGVxmqgZC8tYUxb+Xr6vskhsa3QHmVJoFYdmNQpgqAzrWMZgVDj9tLKTqdFeh6ykT0X6wZ4nm9VyD6vHLPriKrz+9JmZNc6SrZcByqwSoXI2uSg0tGpj0LK2d7IASeibR1m4YEpVnHHmttpKISrVSJTxfmXIAqZ1Xj/JAqxlgq9NoeGajPBCme2oKhln1iATLDtVppyB42QbQ+uZ0dOHaOtjE2xLqUZru/wxm54ebzWvEW/ow9ZogY+zZJxpyZZeJwjXDGqhrKPnnBUJX2ChQ710/zfdzw9s4CyDYilLIHgnEzne8nPDDisPSk1QWrkf70dJF1plTo+eKMJmxCs+IcJ2N8PnPjGe3h8rRmdGXBm9+yoXy+xEtdPN8KVvGrdzXAbYDWYhxpkiUg2hcc7v38D1+32kfd+g5Dg7gzyyQJ18rnC2te752osEzjtPGjb6FKMJnB8RrIpxZi0Yu3XcOxqGgbNijeOUladL0VVvI6Ua2/ltUwwykgUJ8eBsmGvHmHAlf2q112HLba9x5pGCU7RVTUDWBZ0FGOc/981P4amzG1O3c8GFu1Q+aPnLb8/WrlwGqIU2jXWIgEHHMxwbw1vmB+HhXA6cE2VStzHwxAyMuxpkiQoDZ/LykfUMmwy6LYWjQf0C0SqQpZQLra3LjV/8cKGPZCslHMMk37vy3zVwN/UL5s3hTQyLAonMNrRCeRYfP7VSjfLYo8smzRCdAzlw1mEgv87FoYrkfaj3HXjsBIDdXgtPnu2Zfwjng82h99llkkMW/gVe6GIxGvo4+wKxvEAQOG/1r7sOhQAwyHZci3ayJMhWxCteKTPOP39hPBsZaJxFITgv6lZ5y5OECyRXB2fNuGBx4NiiW2icR/eNfC499g1KjrId857NcVjT2Zjsu2s/eO7F8Q1jvztlaALnRwSrYkuIA9GErKgfGOQycFYz6UO5MG/SwC6LxHaLO0gVoTUKdVUxDEaFY76MVKNwjVnKjLP3cfapQ27PvM7otOozzru91szV/9KLt8r/eRI8r+Xt6IBS4DywgXMQPIWsI1s9xcDyAMK4j26qCD/0ae88w1rMquBvXdBtpThcwFmlCmQXFlqbxjHS95qzPFULZ/bKddX0Y8WBRr61n/gF8+bgBvJCIxVp4fK9dwGZLQ4MdLbivCV4fAw0zvLvtNoirlXCkwb1gzRm8QEju3rjadvyWDDOEg8yZpzD5iay+K4s1eDg3N0DrXHQkYzzdfQGPjjrt/dcVosZ53/1O8cZym95dg8fv7I99ns+D/9zqOMuuzwtGwmRa9qyKvCzv8iz20kT9Iel4nIh1SgObiCjHKnNAmkQ+unWWCfgMspTqiIy84x4TnD19fEPNoFzg5MCW98sGwQz0KWJcuytZJyzZLbBmgfMSdsetf3LelbfhSozzuk4owDABcrmOGRdNZQdbKXG2U/2PnXIUo31jpw7J9Tad6w4cM5HTmrKWeNMRBh2hb59eMscQzDOeYRxrlosFtqzS2WpRpYovHjR78u8M1zgup6BEwD0sgTHK2GcvQaynSrhwGICJtnBswzOVsnAKdi3ZaT3BeO8Mbg5NXDmZ8gxzqUdaz0eSPB5um6ipWeXaDV2dCcBGaDWnQIqC7yrAuc2a5wBHhFYmgFwoBtKfXihLYsDjzqhxrk3FIFzZy8o4k6Vivpi91pppV92uKjyY4+iE2Cc1Wqbn/AxgDCzOi8ubLdx62AQ/nIjdNV4YcsbAgyybUBlU+fzMhulyIy/TFYAAC590kgwgxN6ee7vcNJY06GiQRnJihgz1gVmdlDsZokLnDXsCzvDsXmSLE9o8l/HQqpxDiZlJwPnQRKXE/RHBc70WkKqUTg9Zsg4cxvm0EKJ2zOvc+jcOYEOZcwiBXZ0c+9DMM4wgQwBGHa8pm5jcMts05fV9WG2oUrjDHhGSxGNTajlCYYLmjhAXFf0WslKtCZcNFdor6OXzCGhmunkAixuuV3exixggXuZ6FDXv2kyRQN570OpBt/2rU6K/aPhWGASYxLN+Oj9utkWS+5zXaUaAIQ0ot53uLjd9vIMiTPPRLe/030aQHjd5PF5ccPEBDfOMnp3WGtTYLhx2e1zc/BRGDi396C1tnp0qhUcysW1LF5MFK1c48zZzFU+Vux+sghpdnG7E3HV8OMxHd7CS9s+sO63zrh5YNLzxt1CGYktlAwIrSTDB2eFR3zSAl7+U7W/y0mhCZwfEbCGb9lgxplXihe3206qQbBSDUxn6xTB6VmrcNw640Kxs3QfyIdoDf0EWq1xLrC32bKsi2HDWI8Z+jj7dq88THCAtc5BM7BYceCs4OvJ7PwijDNPpmxROOiKwNlpnGXwVJZqqAmMs3bvQ0yqISF1mOuMbitxBbzLhOXjUWhtGGcrt+IFNbPN0QYoJDXOGAvsWe5xXzDOvf4NEAipeO/zdjlwNjvKEhV16ok3QLHMnL1G5W2UWqzA6mGCFy5//luexk63ugnVJFze6eKlS5GMXmcb2H06+NVIdbDfNgGvLEwru2oQzIKlLOeQXvovPv8CChuGbAxvY7Pvfdz7bc84m2CUw/NLAAAgAElEQVRr/vsj/Y3Jzg18rqOY1csSkSacFVvdQeS1r4sLMUckoXFOjm7h2Q0RONuOkdN8nF12x4KsVIMoHIf/2Qv/Ou7bxfO9T/2lkO0+pViNR0qDE8cibMMkcHozSxUUARe2O+gPC+fhmE5I1Yb7CbtHRaEy6O4e6MgWoRzcREu0eD3KdivP0TPOJuXKmuxycSCzF1wMyCzUAv1DTgVOInAeZ5zn1zib/fhUaW4DsZEInHsRjfO4VAOginV/Ip7JsoSl3JKe09xVwd+6oNdKF0rXVkG+2+00CTSnvggv/hSwxjlR3oEj2DfM5Hs/YJxNE4wskGrEGWfAvPflg8eeSw62+RqV65pMxX/kS6wB+Nld2Rhw8VXg7tfdP+9tPA2oxMhdEOpspasGWcZVqVAaxy2380Lj8plNHLTOuZbbFw5+zx2n3z6HLt8nGl/0zgL5ESll8VmH1YFt/VYp1XjugsnCLlLjdGGrM34denvcqgRZ/w6+5fwQsI/AcbZrMweTNc65zfxyyK3I9Bw4QrhI3e9cxX/56n+P17bu4alX3sJ4p4bThzUdKhqUsTLGWUg1FBEubXfQzwscDnNstFJjR4fZmMdyt67xYwG5bPX54COcV7448LgicDZdozI3iHNKyAy2oY8zb+Mrwdc7YGJ0T4JxBly7YsBK2GpcOtYn54W2bVuB4RTGuWiXA+dqxpkbDygi16JbHjv4TqJJwzo/Bb1WMrYoWAakJr2VKtctksi7alRpa0PP3sg2ZJ4h2QSlc3wDRECr71P2eWcv+NgPv+F1t2c3WmOBSWyc4YCZ739Zc80dEtcRK392r3w6+OetrVccYy+bpTxzbgPfby3hOKvE19UFzvCdaPke3BfOGpfu/5b72RQMh0Xc8yK0oytdpylSg0WRJYSL2x2c3RhvzLIs/NCnzbvwpTfr2911W8m4B3aSBjVHz+d/6H4+ap2F4iLxCZdvZGujGDwel8cLDWCQbeHm5kvQaxKSrsdZNpgKabWzbLBUg4jwpTefxGBU4KA/Qq+dOMZ5FsSKdsqQzCMeXMd55TXOR2kV40w4s9FyUgJ+QcvpPTmQyxawLD9Yz2nToCxJWAUMg6Rc0Ufda8aT6qjQrmXysBdhnI988DRqh/d+ksY5SxQSy8CVJ8ZycMn+vrMu/k4ruq1kJc46UpOeJeQKvJxLDqqzXd7HuULjbFmrB4Jx7hxdR1v3keWm6dGI0rFF09N7vtbh7EZrvDgw+j0s42yvkQ/j7LmuceC88mf39R/FUPl0/u8+9WXXQl0pLxcg8jUFXqpBQbZRLqI4C3Gv4xdCPWFH1++ed7UnZp6Z/0vKoJUXyIya6/6Z8aU3n8QnntgJntdVIapPnwNffGM88D7qeF/sjeu/5n4+bJ/3Uo0JF7AoNFIVdunNUlMxKrNjHH8PC70SL/pVoAmcHxHUHVhmQaGNHZ0i4I2nz7jAebOd4odevzqTxplR3kq+JmV3BRxcBw5vuX8+SOOWQ4ki/Ni/cM1VTRursnEtFQ/mRECu/WfLA+o64sQ0zoKtr8vYcEFmnmurfSXkXenjbAPmA+8bW5RYx0muGmliWLBYwWSZgXb3nVY7ia4avVayEqmGfC9aqXIsoQt8JqSiOTB2/ullth+m7kF2j2sffYiz2gdPD5JdqAkair0I4wyNsWN5v9sKjfM6B860YkeYrUv4+Rf/A7y/9Qn8r1f/Ou7uvCyyDTR2rQE/znLbbS+NE90kbbbpdvfpsc8DwOHm025+qJtN+fFve8afE4Ukz7QM6KJYNJg9Sbz25Dgpddj1gXP24a+6nw9aF1yR56TLxxpn3oYoUhwI62hFwHBUrI0tbKNxfkSwyq5X3PyAfRhN4Jyj10rx3PnNmTTOQHURkfs7gEEnlGrIwHmf4uqndqpw7dyG1zjbFS0hDK6c/o4oGMgX7bx0GnASdnRe46zF7+bfD2cFRkXhFjN5Zw+aFEgX6I7uISkGwb3Pe2HgPCnTwYxzTL6SloIwN/lXsKbrgl6WrqY4UAbOidA424nTaIPj141dNVgaNc44W1/4bBvH1EFHHyMZHeLJ9AO3zf3kzMSA9uxGayxojLpquOJA/ku4jclWVR7mVGPW8XcRfHXvbfzh3tu49aCPl2GCop6wAB0/J/9OSXaSxw+l/O9igfNQtdHvXHDP2zIWhTGJwBq/8ivHkQicKffFgQedC8axKFPYnNBKPLeMM8O4HClHwDA4izUqioZxbnCyqFM4MSv4BWD9cKE1DgYjbLTCtNw0TGKneD990QgDD66XAuc44yxlCjyRs6uGZCqIAGPb5C0mOWiqmvzXBSdhR0cw19ZVulM9eRA7WfjnikBJgr6wI+wNbweMc1nnqmxWIYZMKcs4RwLnCOMsMxHril47wZkVaCnla9FiH2fLcLKjRVVgywGTUhRl95R9BpQi3Mm8zvVj+h33836yOzFw/vI3PTXm1R0LiKLFgWKja+c28PpTZyqPc5pxkvp8vv+jvECLPXkjB2eJDxfHjXLt33tbHMhyjzvda2Ofv9d5AqSUc/BZhn5f6vWBeg2cHidIxlniQesCOpnCX/uOFyaSDWVXDUXexzlG9A3z9QiagSZwfmSQrLAkvCiMNkm+JAf9ETbEanOWoCNWiEfwcg0CcNwSAVIpcL5bwTh3nK6OnK0UB2RhVTUXB8rOgV46AMT1keuAn5yx5fUiYDZfWkvVmXhYZsH6V7L34F7qF02b/TDbUHTPBvuYpHFmG6hY4DymcbapRLWi4tqTQpYo/MU/8cz0DecEO5RoAB+7bLTGoVSjOtulFDn3nSJSSco66YQId1Mv13ip8IVI+2p3otvFU3u9sUVvLCDi2y41znKLzXaKC9ulRgxrAnL/s8Jj2P3zAmiYFxODIIJ5SHjMzzltT2S7t8LZGd7qXUO/5NF/p/OkdW7xGudFIfX6gF9g8fPdIMSZJ+KNSO63zqOTJfhB0YE1hnKmwBFaQGkBY7JSw7xhnBucMFbKOGvvqsE4GOTYaHNgYqncKYjJIYhHR5iXSVbyYv/9gHW8i3jnQNeYAV5zl9lOh/IFZVkGASJwJhvI+W+yjqjr3zoPWLMoiz3qMc7ecSFV5AbSey3POu4dfhUoTLeqUboB1eoG+7i2t4Gn9uIawlQUB5ZRnuQ5Q0H8BRsEYHZZa40feO2qZQltsCEWUFXgwDjmqsEBtVKEu0Ln/GIuGGe1M7f2mJ0/JJhY4Pu/an3rSUKpk2FOeagmEAYucI7L73gxzB1tuUuf0caaIDq3MgxNKb6x/Vrw+fd2vyl4xl6+HM82zoOyHMvJ9RDKzxoYPP3yeDvsor1TWaRfhllUKzFf2KJ9CuMVNg0Ycc3LGmApgTMRfR8R/R4RvUNE/1bk720i+hn7918komvLOG4Dj1VqnH2Kxf/uUDDOs2rs4kUkYWB7KKyp8OFXAG3aCN+lHRzqeHDIqVoemNnHeUzPCh+kuSpvy4IoRRjmxYkU2a0rWKPIBV91i6l4cTOyaXqWStwTwdPFB7/rfh60x3WuT57t4Ykz8cCZu1x+x8sXxv9WkmpI26xHJI5aKjgjw3FFob1+NS+8brUKPCnGdMeAyWYlRLiT+Q5y54sb7ucb6vzcY1vMJcszzrY4EI/OOol9yFcJZn65qHIw0i4IqqoPIZCQahRgz/TcNsXhZjoA8Lvnv899roDCO3ufgfRa/tOfurLwd+Bxxn0nePngujCdJ4rda4GbCgCMzn8cBSbXKjEIVNI4Gx9nLuBn8Ls4zIu1WcAsHDgTUQLg7wL4fgCvAPgRInqltNlfBHBHa/08gP8UwH+06HEbhCgHBMtEJ0uQ2rQc40F/hF7LBs6YjamNpvRKabL7mUjJDw/cj9fpHIYVXUok45w4qYZCKx1nFzm45oMmNmDiwX9vhZ6b6w4e8IZFYRqQVLBN06CsXp4N8lknK9P1Fx8IP9f23lxBOks13nrm7NjfYlrJxAXPc36RxwCJXeTIwILfd7YTm1RYy5NirD0vM86JItzuPBX9/EfJxbkLUGVAJr8HIBnnR0ffWg4IVwkNn1ZvWfleXOPsO3J6P2+4INVJNez2v3fue/FPr/11fLj5MfzTZ/8GHrQuOIZ7WTDjTPBl1r62YaVQCrd6zwa/Gp1/JbowrYJ01Xj+wiaev7A5Ju/iRfVwjRjnZbhqvAXgHa31VwGAiP4hgB8A8Ntimx8A8O/bn38WwH9GRKTXZXmxBlilxrmbJY5dYBwO8qA4cBZEq68hUr4ADpNtFCqDsml6xnXac62+y+DiQC7+MFKNCONsj0/kA4Ek8QM8EbC32QTOVWAteJ5re93qhR68n1Fui0fs9b+bicBZdBA76l6eq6sbu2rEECsodHKRRySQWib4neUJjSUOPhie7KzCjLMMknxNgy8evFUROH+oLs69OIsWB7KrBhcHmhN4JFAuelslpAMCa5yjmUTiYmLzs6xn8PIdIZchwq9d/bP4tat/NvhewPL0x2VZiW/mQ9jurF7qto545+xncenB77h/j668hWJ/NplTWZJxecfI7coFxdq+sMO8wLqozZcRbV0F8K7493v2d9FttNYjAPcA7KHB0rBKjXPXdiWTg04uugKxf/I0xG2L4CqnQYRBDvS3r41t9yHOVabTHONMPihLExVpr+xZB94XB02sxdvbbJd338DCNDwwEgtOwdaZr7nZBBcM8YR6M70Y3f6wd3kuu8BWqipdUmKZmZ98+zl3Dg1C8KKSOQ4flFpvZiJ8z8fj1feACbSNnnW8PS8H3wkR7nafQhGJZD+ki3NbRUalGmOM83o3PJLYbKfotVYrMeNbwAsOI9VQrq4ktj2PqV7WI4oDlfVxLt2FwNcfy2Wcy+4jrpkPYSWONI8CfvPi53HM/ROe+lYMXvpTUWvJGMrM8qTfE2Dt6IC/84//YPETXzGWETjHrmH5cZ9lG7Mh0U8Q0a8Q0a/cuHEjtkmDCLhn/SrAzRWqYvNZU4UxRyFp3k8ABnmB/u7zY9t9oKvT9c5VA2aCTKzjwiQ9qyxYMD7O5vONVKManGp1FfKgsYlvFnzm5QsuAE+Vb9n+URpvG3vYvTIXo9ae4Gkd84PdaKcnmu5eJ5ji2bCYlt8j1ji/ejXudgOYQb5sR+dIRvi0vU47eA+hJv0gO4MH6MxfHBiTajDjLAaxdfbtlnjj6TMT78GywPeLg5wssZ0DY+O6vcscOI+cVMMXBQ+ndNBgdnpZd4kIwfFk2/AzvWbcj+GodQ7/8BM/BXzh7wE/+j+BVGqZ+plC52iGT1Gc6BvmGlqvh958GYHzewDkjPcEgPertiGiFMAOgNuIQGv9X2mt39Rav3n+/PnYJg0i4J71q0AnS5xnZwwc+ExDZREJ+f8O8wLDM+OB8+/qJysHUOfjHEg11FiQxMcxjLM9J1tIxlZJjVRjAihso1yXcX79qTNhAG4nr/tqK/ByZhx0Ls1VIFb29ZWo8n5uGOc4jOOMwqjwTaqZZZwlqGGrqZh2UbKPRMCv0KvB39/dft34/845S8VaKTuphuwcON9uH2vI4kBmbrnQKzYv8NjAnVnzonCf01qjlSoM88JlCL3DhYGTAy3xO5QbXXHhIQE402ukGjFoALd714BPfgnIOkFh/TRUMs6Iy3seNzu6XwbwAhE9Q0QtAF8G8HOlbX4OwI/Zn78I4P9s9M3rg26WuAYoQCSdQLMxj5O0cIB5oQajAvn5cm0p8BvFs5WBzec/ecV+3gzYL13cQmKD5+D4ji3zZyulGn/57edcwWODcfi0a+EWGnWDDw7AUxE4j4oC9zevjW170L0yV4FYe0IzmEmSpkbjPA7WKeYcOIv3J2YxV4aGCLJL2zprMjIZol+kTwV///rON7tF2jwot9MG/KLda5wfHTu6kwRnDpSVw1W565hx3XcPdIyzMgvmLFEYjgxzmSaEYSQaY5u4ZQYKgZuD9gF6I9WYDQQAM1o5EuIZPpZUlkNAY0e3HmHhwoGz1Sz/VQD/B4DfAfA/aK1/i4j+FhH9abvZTwHYI6J3APxrAMYs6xqcXnSzJGiAEntnZmKcI0GL4pHL7mOQF+g//VlA+QB20LuE23qrMj30ypVt9/lEkTNmj2ucveQAsMG8ZSK6K9YJrjsIgnFmG7mawQfZAFyx5INMAdHdzRfCDbMe7mw8O1fw9MxetWwpjeWVwc/hzId4bMA+545xJp9hijU1KUNrn+EpL0y4MYZShoH6BfXNuP/0d6EA4cPNV/B757/XWR/OgyIi1Xjh4iaAR9NV4yQhm4ZkCbkxYRzkxlnnoEHccdKw1YPcqNp5P8Fx7KO17DBKkje87+1OhnMbTW1LDOX7Qu5dnuGzdj6OEW2pUoF+XcPM/WtSG7gUVw1orX8ewM+XfvfviZ+PAfyZZRyrwcmj20qQiXRtGbPOa1WuGjyWEYDBqEC6sQu8+sPAb/wMAOD9N/8NpP+3mvqylqt1y+xiWXfH23DqucFkcOfAUa5dgV/daFPZQNkzzkCea7x//tvw/B//jN/wiTdRUDZXS/QvvxV3aACAVoVtYxM3x8H1AnnuO20ymzgL48wFhFUNR4y9mTmGVik++NxP46d+4fdx6YxpdjQq7kY1tNNQPtYPvGYW06kMnJsbPjOIrFzDLTjIu2pEriMH17woki23tdbIUpNdNBmNuAyQsHxJTbnxBkATx4sG4yhmfHkIhCyis/ozbz6Bn/5nf2TGBkuaQBuv78fJjq7BIw7j40yVaZRZDfgrB1guDiQTOGcJAZ/7j4GnvgW49EncKZ5D+//91anHKDOgL17cqvw7D9RvPXMWf3z7cK7A7HEFT4SjQiNR9TsHAiZ1PuCmCCKd+/7Zt3CcbKGT3zcbvvh9yK191TLwL39mXD8PjHcVa2BQZpy5iQUHQLNcsSqpBmBdNZQt6uUgTGXB3+e2o5sQbLHGuVkozQe+ppJxbqXKyi/iQS8/J76ewWcZMsc4myLu+NzAR1weYs4uDWaHWzDPsi3FsxHbnQyJ8lpprU3W4WiYY7nCnNWhabndYCo+94nLuLLbrS4OnHHwqSoU4M8TjJdjphTQ2Qbe/AvAE29CEaHXSqaywuW0IUs2GNKUn3f17S+cB4FqsVqPG7jZgSv0WUDjzBNomjB/ZSr1h6qLn/vYf4LfuPgF4Pv/NvDWT7jmCctAlRynmUDjUGR0inlhPNQ5aCIbDE17J7X2utbY01JoDs6VW0DJQGxvszW/Hd2Eqv8k8VmnJnKeHZwxYMcSI7GYVBzouwryoth36TNSjWFuGedk3D6Sbw8XJS4L4bk+OpaEq4KpbxD9EwiV2aMyCCXf9BJkkNxrpTgc5A3j3ODRwdmNlh0k438nzMYKVReR+B0NRgWykisCEdBtpTMxzpMmcma3lQq3m/a5BgbMIPRHhXPDqMvSSncOvv55oZEXGt/Y+TS+sfNpfOKtF8CteVedEeDgvUEIDmq9xpnc+852dJNw72iI7U5mA+TYFto6d8C9l3K7SQv2KkxmnH12q9E4z45CAwnIOZYQYWLLbR4bZEFxK00tY6mRpQoD2wk2tX7PeSmjSbR8yaskSE6yccy6Ik0URv2R+zffk1neHe40m5Ap/JYw8i3/7822CZzXxTOi4dkazARuVBHDrORNlaWYZ5xNgUDZf5kZ52kv6zTJCAdpHDz7z1WfWwMP58maSx/nuvsyVdSy5fZItFxNrJPDb7+/j1sHg5UvbNibuEEIp3GWUg1iW7HpE+jBYISXL29Xa5y1t4LkoFm+i1d2u3Pfl1jnQPl9gOZ+14Ebp+1Cly1KY9eRx4btbgpFxqOXCwWLQiNTnnHOEjU2/vKztWyNs+yw20qm18087sgSwjD3wSzB3L9Z353ULorzEpVsMg/+dxvtFIf90VIb3qwSTeDcYCawlVAMs05C8S5CftVPRKYjVeRA3SyZfowK9kP8Wbhq+O246K3BZJhrRy5Fv4jGWSnhqmH3YzpH2VboyjBQv/PBPj7aP175/aEFvsujDM4yBD7O9loN8iJqNyXxsUvb6GaJXRCNb8t2dcw6lu3NXriw6TqDzgouSIyBx5YmwzAfTBFnqF02xYHV3eGIgH/p258Nxgwi7iLpg+M0qQi+adyybFFIxrnquA08MiupYczj4wxYwk2Nf0aV9tNrJxgV62NH10g1GsyEKr9OwA+ms+wj9ln5cxFJyxOZphZle7nYvial9D1jUkrR0eTPNTDgQrFyq+y6+3KuGuDAWQfMZlEYU/z+qACteIl/Zac7d4D2OICD2sLdF7+AGs4QOP/k28+69zr2rHCQm4gFlBwnvvD6/I2dJs29rHFeRGb0OIKLNFmnTCBrUTqh5TZnJ+y7zfe3sNVl3I02VSou94BturLE7yHPdZL8sIFBmlDgpuXe5Rk+S+LelgPi8qJos52ilaqGcW7waGGi68CMbN0k2yL+OcYwGLN9mtgRzny+ui24+7vy/qLi9BuN8wzgS5Rrr02urXEmEp0DybFSrHNMldHFDQttNNUrvj/dVoKru92VHmMdYfTHFGqcrVRjMCrQmrKY/eQTuyZYqki5O1cNwTgnavFgqVKqYf/QdIqcDxw78SIXxBrneBc4mYVkjTPfX/b0zmxBqHHVGCdLQJMXQXXw/a9edj8b/+jmIZiETKmSLnye4kDy40deDpxLjHMrQStVa8M4N4Fzg5mQqOohZtbhJ+6q4YNWoviEySvXqYEzpgdyXOUdFgc2rhqzgFkkGfDWnXbYx1m23B7l2k2UShnGeZQXGIyKZmHzkMDvnu8c6IOa/qiobCgT7oOsLrJaqpG4Ba19N2ecnGMwNnnxDzuNMxqpxjzgTovmnlhXDeu/XMUW8285u8SLldzeW3bUSSuYXwK5ttjLAjfLAmyDrOYhmIgsDTvweju66RfOjB3xzKSKMc6JWhMzuiZwbjAjnr+wie/62MXo32ad4KK2RSIg52KQ2OcSRWhNZZwna5x5Xw3jXA+miM97sqoFGGdlJR+hVKNwAVpiJ9hRbhjnKn19g9VCkSmk5ap4RWwfaK0jp0g1AJuer0jvaq1xYbuDL77xhH83Fc1cuR/DpP4MmZNqNIzzPCD3f+batlIVzd657R017X2cXXGgfRY4YM4sKzneYQ4r7SSXqqY4cBpSFUok+V2e5cIRjDQqRrpJjTORKQ5sp6px1WjwaCFR1S2pyf3P9H3EPiulGlX7TxOaqkGt0ttJsOWVDPiIGleNWcDFgKxLXcxVQ7hzCB2kC5wTw3IOiwKDUd4sbB4SWIPqGGeI4sBRES3kLYOASus6noN7rVTIdhbr7McsdgyJaIDS0I2zg8gvlAlw2T/jUDR+HV0zG5jPjFzGwWcfWtYHOrXuHBBFnbLhyqpCKZaaNKhGltBYB162JJwGxzir8UWqlGVqDWy01kvj3BQHNlgYRLOxQ9HglMLwq1qqQfhXPhvv+ua2w3QWiQfmgHGegaluwBpyWRxYP7gxFkWFY314v65YzP6bGefm/jwclDXOvOjkboCzFNUaL+54MMstt/lYyr6L+YwFSDFMKl7iIGCRZ/dxhCQ42IoOAJ67sIEru52x7c9vtfHFN56w25cZZ89aA7ZI0DovZCT01EQrZSCzxo5uKsqMMzB7N0/2cWa5RvlvUuPcyRQ6zn3n9KMJnBssjFkCVqDaVUP+OjZQmhdQzcQ4T2OOTeq5pHGuYE0ahFCGMEJhW2ArVZ9zdrZU7KYAWB9ndllgqYbRODdBzsMBUcnHWXn96qxzHAGVRT+SWXaMsyKMRotonKuD4j/54nl7Tk1Z2DxgckRKNQCTKei1xsMIIkI7NeO1zC7xApngZTNGK+0dlUhrF1wvW+Ms0djRTUeWqkCOJZniaSAIx5TSdS5rnIkIX3zjiabldoPHB5H3Iooqv0//87jODeAXcLYRbrpUwxchyXNopBrT4ZjGwtv31Z14pB2da6xSFGDL0EQpFIXG0Mo3mpTqwwH79Po5zktrihnpIadxjtxCyQ5zel/ZcWCRe1712beeOevOqXmmZocr8KIwcJ71s+yqIZ8FZjLThKxlmc/+FTa4XmXq3jDOzTMwCZmKFQfOtphxc22EYCn7OAPAx6/soFhyi/VVoQmcGywMw0JMf5XijLNogAJE3xq2o5tl/9Pi34SZk8gKuMF0pLYxifNxrrmfhAh5btP05KUann00mufhqAgM+BucLBL77vH7IZtgzOKoAfii36irhhBMMuMcBuqrwSLP7uMIcv81//fj3/bM7J8l7+PMEh/AB2RsR6c525SQ2371GucV7fwRQZqo4D0nIbWZhsy9z+PzK2cYJOZhsx82msC5weKYcRKKzbOSrebUXGybWRjn7/n4RTx/YXPiNt5VQzLO1c1dGoR44+kzzlqKpRt1wJMpu2rA/lv67OaFDgoGG5w8WKrhu3vCMY+zZoEcyxj5myzkk7p5tj+bFzM/KTTb5N/AgrytGBFwbrM980eV9fHl+5wXIWvdThPnqqHI/Ls/yleucW5cNaYjSyiUaqA6e1TGT7z9HIC4Z7qxGgxhFk/rUbLbBM4NFgbr3qahSuPsqq8r7OiMkfr0R7WdJlOZbyUq9+U5NFKN2fCZly6gEP7LdXk77kAo78co98VmqTJm+MO8wDBvAueHBVMcqATjTM6WcFonT4lKlkpMlIlNCz95pmd/P/+zNesn+Hs0mA08xs+aXZRgz3aWZGm7iGJnjifP9vCDn77qGOlOpnA8zJ2OflV3KUsbH+dpyJKyHR0Ht9Mv3GbbaN+TiFQjJvXioHwd0ATODRbGrONovMMUAjYrGjgTZvKLnQVSRyn33zDOsyO3zPAyW27LoiHASjVybVnnRqrxsKAss8zvqOwYOes76Rnn8e0Ne8WLJWM5+flPXbEa5/nPd56CxeaVnx0+aJ4/1vQaZ/N5rlmQAZmTfhGhkyboDwvzXKxS47xAcfPjgrRkRzcP48yQ1oQMZpen/e60oiOZ3ZMAABmjSURBVAmcGyyMWR19ox2mRPBlGIa4VGNZjLBSfEy/P26w0mA2mOp383Pdq8Z2dI65Lsl0WAuZJuPtWhucHJTyXf0YHDzNyjh7jfP43zg9D4TvuJ6xAKkumqB5Pkjv+3mvHREwtMGyb7k9ToawXV07UzgeGcb519+9i/5oNQvnrKJjYQOPnW6Gi9vebrCK3JoEFfF+VCqucV4Xxrmxo2tQC2OP9wwDUGUDFP65knEeN2GvC5YFyN19x8sXnC9pg+koZHFgzZmHmyLwfspV1mnCnQWV8xBucPJQJY2za3wzh1SDyKTlz/RaY3+T7FUYONcLbueRajRZptnh2eb5r5svBA4dVsrPD9+TTpo4C8pf/qPbeObcxhK/iQe3/G5Qjcs7XVze6bp/kyU05hn3Exq/zlLj7Iiz1SYYloomWmgwNxJFgT6JxheUUcS2oeDDcTs6RZi5gn8aZAMHRidLGh/nOeClGvWZO25wwu1YmcXk+89SjixpsgEPE2xHR+LfHEDNKtVIFeG//he/KWph1s0ScLgbBM6or5+fBY1UYz6wPKeuVGNk6xnYTYFAY8+DkWzB+vWbBdoo1yvLOGW2c2GD1YLJEQnJLjNZxvr3dUATODeYG4m1JGNI1nji5yqKA6cyzlge45zYiX+GWsMGFSi0L7Kse1d4Mk2sv5mTy1g2KlEs1VBo4uaHB8M4Kzfx8Tp3PsaZcK2CNdzpZoJx9vtbtOX2LOfUxEyzg991mnWwFwg1zt52spzlYwldO1PuGRsWBYYrqnFopBr1MG/BJsvxJGJBsgmmFz69E0ETPjSYG6YJRplxnkHjXFkcaH8GEJv2mPVaBnzXwGbErItRUSzMOCsF5DkXB/oCwUGu0UqVY6Rj7VobnByev7CJJCG30JRSjVm81adht5d5Ozqxu7odxGYuDqTVMtqPIsxtmr+gjhT7OFPgnDBJqsFHWCXj3Eg16kHPWxyoxq9zrAHKOhUHNhrnBnPDFHaF7TJneY+qXDU8mxV/cdppEhQoLALv47yU3T2WKArfrKLuAoQ7BTIbwfdlmBdoJQqJIjfZzmN71mC5+IHXruJ4mAfvqJdqLH5ftruZl4GMaZznf7baqcL949HU7RqpxnyQC6Z5r5truc21DEU8Y8HjcidTzr1lmBcr83F/69rZRgZWA7Pa0TEU0djcL6Ua7ndYn+LAZkZqMDdiq8VZBtO4VMO/glLjKrHTy/C5T1ye9zQrz6FOgUsDD++/vADjTKEdnZHPEIZ5gcwGzjxhztPet8HyIYML1rjOI9WYhN1uyz1Dy5Bj9VoJjgbTA+emc+B8cBIdzG/d2U4VjuziiwjIKzTOnA00fvxmbhgVemWdQzfaqdVTN5gH88qoYosTq8oL7i1RvMbpNKKZkRrMDd821WDWl2iqVINW33LT2NE1jPMiKLRnj+ouQNhmTilyeulUKRc4K6GjbzeB80NFIu4z61QJ9b3V5RseSDUCjXM9O7peK8HhIJ+63SKLvscR5VqUeZAqci4ZrgEKAec2Q5cVvicdoXHm7qENThfm0ziPPzNksxB/9/96R/yuabnd4BGGZAMB4O0Xz6OdTl+5VwVZzP1wUdgqwY4aTTV1fZjiQBtE1dxHphQGIy/LAMwE2x8VyKzpfmEbojSM88OFUt5Bg9P1qqaEplxYdGm7g05m9iMZ57oNULqtFIfDWQLnps5hHvA9pxrvPFuY+ZbbJnD+S9/+bLAdL8TbWeKeM9M5tGmAdJqgMZ/GOUawKCIcj3IcD4vgd2sSNzca5wbzQ7KBAPDxKzszfS42zyoxEp+EhCLWObDBfCDykpe6lzFNCP28wLc+dw4fu7wFwCyahrY4kKUcQMM4nwZwkMyLpbpSjf4ox27XM42fffmC+3nMx7nGeXazBEcN47x0EMyNr/vOc9MkpbgBSjx9r5RhnPlY3D20wemBmfpnfwjixYHA8TDHKC/c+M5WheuAZkZqMDcSorE+87OgsuW2+8fqGWcuamukGvVB8BZDdZWiaUIYjgpT2W5nYv5dK1GuAQrQMM6nAeyjzpZh87Tcljge5Ohm8fspF7OG1Zp//0aqMWNx4Nx7f3whte117kuhfQFwVctmZiZbibJNd4yDTxM4ny7Mezc4UyFBBBwPC1sAbn+H9WGcmxmpwdwou2rMihjLaxgMTgOfhFSDmY1m2qwLLuSLDYizIlMKg7wIgpdEFAey3hkY93ttcPLIlJdT8T2rs6A5GuaVBVlle7t6Uo3ZGOdGrjUf3IIJ9RYcRqphxvu8iOvX5aKsmxlLOhlYNTgdqFMcON4AhXA0zDHICxcsU6QN92lFMyM1mBuqZvVr1FVDTMREq+8Sl9B458AG84FA9jrW34diDbPYCQfTWarQShRGuXHzbRjnhw8v1fD3vZ5Uo0C3FQ+cA8a5plTjiTNdfHDveOp2dbS6jzM4YKaaC45MKZfpq2acfdF2JzPOGqNcN37bpw7zFe7GXTXISTUYhHgDtNOIZkZqMDc45TYvdrrZ2O8IYRe/WHC9TDDT3JCY9cENaRZhnIHxAjDPOBOylBzjPEvhaYPVIkvNjWLWEKi3oCGgmnEWg0pRszrwwlYHZ3qtqdst+uw+biDy43Sdy8bezCDjAx/bC8EvnrjtdlMYePowr8e69/z38BpnLX5HtRsfnTSa8KHB3EhUPWb4L337M2O/kzrZk5JqAMCTZ3orPc6jDO9MUl/jDCCotAe8RV079VINQsM4nwakSmqcze/Ob7bn3o+yafgYXrmyLf5Vz45ufD/VaJjM2cENUIB6Epp2mrii7ErGWXlC5vtfvWQ1zo1U4zRiLsY5QrQRCP1hgWGpA/G6yNmbGanB3FARzdIsiK9S/URMJ1EcaA/25beeWulxHnUwi7AQ46xDP21ur50lRqoxzBtXjdMCXrxIN4qyndhMoGrGudzkqO6z9ZNvTz+vhnGeD3zfieo5ErW5GyC4AUrsGH5e+dSTu2bbJnA+dZg3GTTNVcP/rikObPAIQzZEWBRyN4TVa5wbbfPiYA9nRfWDG8BqHcWQmioFpYx2Nk18mrZhnB8+Qh/n+jd9EuMcgmozwi9fms44N8PAfHB1KDXvSTtNHOFSVKT6yzahRKa7YJMZOF3QFRmDKnCTKwkuDgw7B65PcWDj49xgbiRqecwwF5wAJ8M4N0HY4khtoc9TZ3s4O4OetArl6mxjTWcC5ywxUo2mOPB04O0Xjd/yIk1vAPPZbmv6/Yx1G1smzLizuv0/ciCfYaol1ciUW2gXFa4aiiiodyE02abTCNPEaA6NM1UxzkUgzVinBVITODeYG4u0Wo7ty7MZq2eE/8pnnlvp/h8H8OLmk0/sLryfcnEgYOznsoQwyI2FVaNHf/h465mzABaXOCiimYo9U6VWOo2qSMFSg2qYsZndNWpINWxTIyKqlF9wO3d3TPLuGg1OD+YlhTc7KZ47vxn8jsh0DpQLI2UXVeuAZjnXYG7UddWIIWAwKKysXwXSxk5jYSzrHqVJuABjjXMrNYz2YGQ8nf/8tzy9lOM1WByLFoQqhUo7umC7FWuQCY0d3Tzg4kDprjEPOAB2dnQxV40SIUOghnE+hZizcSA22ym+9flzwe9Y4yzvL1kZzzqgeSobzI26rhoxhK4aq9c4N1gcy7pHxtvV/ztNFBLlO9INRkUzcZ4yLFoQCsymcU7UalO3i3+Pxwu+OLCe9lwyzpM7B4bHNAF3c6NOE3RFcec8ICIbOPuxQBEaO7oGjy5iYv+6IPjB8iQ0zg0Wx7JY+yyNM86ZDZYHed4EzqcMixaEqgmuGsF2i4qpp2BR5vxxg2To69z/TpaIltvxbcaLAxuN82nFoouZdqpw/3gU1K9Q46rR4FFGzJexNsRETGgC53XA0qQaJR1rYn1cucV2f1g0hYGnDHU1roxOlsz0jqcRC6tloikOnA+OcUa99YxhnM2zU1RqnMMsABEZxrnuSTdYGRa9J3ubLbx/92htx/f1POsGDxVKLa/DH8n/XWLRYYPVYWlSjSQs0EqtBIhbOQ/youkaeMqw0U6dlKYOLu90ZtouodUW78mi5AbT4WwIqR7b2E4TJ48xUo2YxrnEOMMH3A1OD8puSHWwt9HG+3eP1zZwblw1GsyNhJYo1RAsA51AcWCDxbFUxjlw1VBopT4wbxjn04cvvvHEQgHtrE1T1KoZ56Y6cC54trmeNvwLr1/FVjvFsChmaoDCx0wUNQXdpwwa8eLOedBKFTqZciTJuqEJnBvMjbqdA2MItHN23w1ON5bFOJddNbKEkCrPMA/ywsk2GpwOnFShVrJqV42aRW6PK0j6ONf4/MVtk2lQmlAUccaSmyq5Y4KQimLhBqcDy2CcAeDKbndt38CFAmci+tsAPg9gAOAPAfy41vpuZLs/AnAfQA5gpLV+c5HjNni4ULRkVw3RAKVhnE8/lnWPWkmocS4H0oNRgXbWBM6PI5LkBOzomqFmZpD8/wUuHAE4HIzQa42HHuy64bYlk4VaV1byUcWyCviu7naXs6OHgEWfyH8E4FWt9ScB/D6Af3vCtp/VWr/WBM3rj2SpjLPkfRo7unXAslKn4z7O6v9v715j5CrrOI7/fjOz2+5uS++U0m2hXAwmimg2CIEYFFBsjEgiCmrEW+CFJBgTA5EXoomJIaC+0EBASTBBkQgI8QokGOSFQMECBUQrqVJKaA0SIVza3f37Ys4ss9vZ3dnOmXOe2fl+ks3OOWc456HPnpn/ec7//J9pFRfeGp9gxLlPVbs8InyoI6f96u1ydJ39u1Vsfeb9m7ViaKDFtpkjzvWyhATOaamnanRu46o+DZwj4p6IGM8W/yJptPMmIXV5VtVoLm818+EQpCm/CVAqctMnULVibVk7MrV8YCK0pI3SZVh8Zs4qmbeZo5uYW/Nncyef0ZWK9Y2PnDDLMWYMyLh+MU2qRlqiPud2xy478/jOd1KSPC/lviTp97NsC0n32H7U9sVz7cT2xba32d62b9++HJuHvFQqOZaNa/pAtuqjkEhbfhOgTB9TrFWsC0/ePLU8WK0w4tynun3niWcDF6bSqKhxiA8HtmOwNj0tozEhFiPO6cnjbtDK4cEcWlKOeXOcbd8n6YgWm66MiLuy91wpaVzSLbPs5rSI2GP7cEn32v5bRDzQ6o0RcYOkGyRpbGysR8ph95e8UzU0NeJMObpekNeI80C1Mj1VY8ZFU61qqmr0qfqIcxfL0XV5RHsx6nZe+BnvWHdQjnOtYtUOZY5vdE2I5wPmDZwj4qy5ttu+SNLHJJ0Z0TptPCL2ZL/32r5T0smSWgbOSN/MqVE70ZwzV89p6/MzsgdUc/oiq1Wnl6Nbu2zJtO0D1Qozh/WpIuosU1WjfVNVNdS9oGnmhVKjytJAjX5KSuR7t6YXR0c7+layfY6kyyV9PCJen+U9I7aXN15L+rCkHZ0cF+XKtaqGpn9gEjinL78R5+l3GL542paDthM496du5zhTx3lhpv65CrwraGfl6BhxTkqo9QQ2h6JWsSYmJ3PZV5E6/Yv8kaTlqqdfbLd9vSTZPtL277L3rJf0oO3HJT0s6bcR8YcOj4sSVSs5T4Ay9Tq/GQnRPdWc8tDnuwVbH3Hm4cB+VK10t6rGzOmdMbfGw4FFlvFr3IH87Cmb530vipNnnnutWtH4RO+NOXdUxzkijptl/R5JW7PXz0l6TyfHQVqqOY46HLVmWPvH61eclnk4sAcMdGnE+eDtFXKc+1TXJ0ARA84L0bjQsItLcWnkOG9Y0btlyxaj9SuW5ravgap1oN8CZ/SnkSVVHXFYPifP+qb9UI6uN+SV4zwwI8d5Jh4O7F/VLk+5vfXdG1pOwoHWmi80ihtxdm6fNcjPxhxn/KtVrPGmVI2Qcnt+qpv45MCCrVm2RB884fCu7Jsc5/TldVdg5fDAnBdKw4NV/h76VLerXmxaPdy9nS9CjZzwQicqd30CFKRldNVQrqkazSPOEaFKD1wsETgjGUeuHNLQIDmtqcsrmP3y6VvmfMhkZAkfT/2q/gAqF03p8FRua1ETxzSm3EZaThxdoeVLD5758VAsX1rTq28emFqejGDEGViI1SODWj3Su0XR+0VeVTXm+wL+9NimXI6D3sPDe2lpTIdd9MOBeX3WID8njq7MbV+bVw/rv6/vn1qejOIuzDrB5RyABWme3a+bjlm3rJDjID3dznHGwkzVcXZx9wGcY9lTpOnoNSPTkn8mJ6MnnnMicAawIEeu5Cl3dFetyzMHYmEaI82NALqoYxI4L24rhwe0YvjttI/JiJ7Ia++BJgIA+kledeKRj+aR5qK6pp7jzN/BYmZbpx+3dmp5MnqjshaBMwAgKdUCptxG+xo1nKXi6jgPDVR1/thoIcdCeZpT/yYjv1kJu4nAGQCQlEqluIfQMD9n9eiKnKrctg5fnt9kG0hfRG/UcSZwBgAkpVaZe3IcFOvUY9boxNEVuU63DMxUL0eX/h8Y5egAAEmpVopLCcD8lg7U6+szuyu6iTrOAAAcguPXL9f+8cn534hCDQ1UVSVwRpdMTPZGHWcCZwBAUg7LaWYy5Ovzpx7VE4ENelNE9EQlFXKcAQDAvAia0U29kqpB4AwAAIBS9UqqBoEzAAAASvXW+ISW1NIPS9NvIQAAABa1Nw9MaHgw/UfvCJwBAABQqjcOTGgoK32YMgJnAAAAlOqN/RMaGkw/LE2/hQAAAFjUDkzE1GQ7KSNwBgAAQKlskaoBAAAAzMe2hgYJnAEAAIA5VSwND1BVAwAAAJiTJS3l4UAAAABgbrVqRYPV9MPS9FsIAACARW14sMqU2wAAAMB8Rnpg1kCJwBkAAAAlG+6BihoSgTMAAABKNrKEEWcAAABgXr1Qw1kicAYAAEDJvnL6lrKb0BYCZwAAAJRqzbIlZTehLQTOAAAAQBsInAEAAIA2EDgDAAAAbSBwBgAAANpA4AwAAAC0gcAZAAAAaAOBMwAAANAGAmcAAACgDQTOAAAAQBsInAEAAIA2dBQ4277K9gu2t2c/W2d53zm2n7W90/YVnRwTAAAAKEMth338ICKumW2j7aqkH0s6W9JuSY/Yvjsins7h2AAAAEAhikjVOFnSzoh4LiL2S7pV0rkFHBcAAADITR6B86W2n7B9k+1VLbZvlPR80/LubF1Lti+2vc32tn379uXQPAAAAKBz8wbOtu+zvaPFz7mSrpN0rKSTJL0o6dpWu2ixLmY7XkTcEBFjETG2bt26Nv83AAAAgO6aN8c5Is5qZ0e2b5T0mxabdkva1LQ8KmlPW60DAAAAEtFpVY0NTYvnSdrR4m2PSDre9hbbg5IukHR3J8cFAAAAitZpVY2rbZ+keurFLkmXSJLtIyX9JCK2RsS47Usl/VFSVdJNEfFUh8cFAAAACuWIWdONS2d7n6R/lXDotZL+U8JxMTv6JE30S3rokzTRL+mhT9JUVr8cFRHzPlyXdOBcFtvbImKs7HbgbfRJmuiX9NAnaaJf0kOfpCn1fmHKbQAAAKANBM4AAABAGwicW7uh7AbgIPRJmuiX9NAnaaJf0kOfpCnpfiHHGQAAAGgDI84AAABAGwicAQAAgDYQOM9g+xzbz9reafuKstsDyfYu20/a3m57W9nt6Ve2b7K91/aOpnWrbd9r+x/Z71VltrHfzNInV9l+ITtfttveWmYb+43tTbbvt/2M7adsX5at51wp0Rz9wvlSEttLbT9s+/GsT76drd9i+6HsXPllNut0MshxbmK7Kunvks6WtFv16cIvjIinS21Yn7O9S9JYRFCovkS2PyDpNUk/i4h3ZeuulvRyRHwvu9BcFRGXl9nOfjJLn1wl6bWIuKbMtvUr2xskbYiIx2wvl/SopE9I+oI4V0ozR798SpwvpbBtSSMR8ZrtAUkPSrpM0tcl3RERt9q+XtLjEXFdmW1txojzdCdL2hkRz0XEfkm3Sjq35DYBSYiIByS9PGP1uZJuzl7frPoXEQoyS5+gRBHxYkQ8lr1+VdIzkjaKc6VUc/QLShJ1r2WLA9lPSPqQpF9l65M7Vwicp9so6fmm5d3ixEpBSLrH9qO2Ly67MZhmfUS8KNW/mCQdXnJ7UHep7SeyVA5SAkpi+2hJ75X0kDhXkjGjXyTOl9LYrtreLmmvpHsl/VPSKxExnr0luTiMwHk6t1hHLkv5TouI90n6qKSvZrenAbR2naRjJZ0k6UVJ15bbnP5ke5mk2yV9LSL+V3Z7UNeiXzhfShQRExFxkqRR1e/6v7PV24pt1dwInKfbLWlT0/KopD0ltQWZiNiT/d4r6U7VTy6k4aUsd7CRQ7i35Pb0vYh4KfsympR0ozhfCpfla94u6ZaIuCNbzblSslb9wvmShoh4RdKfJJ0iaaXtWrYpuTiMwHm6RyQdnz3ROSjpAkl3l9ymvmZ7JHuQQ7ZHJH1Y0o65/ysU6G5JF2WvL5J0V4ltgaaCsobzxPlSqOyBp59KeiYivt+0iXOlRLP1C+dLeWyvs70yez0k6SzVc8/vl/TJ7G3JnStU1ZghK0XzQ0lVSTdFxHdLblJfs32M6qPMklST9HP6pBy2fyHpDElrJb0k6VuSfi3pNkmbJf1b0vkRwcNqBZmlT85Q/bZzSNol6ZJGbi26z/bpkv4s6UlJk9nqb6qeT8u5UpI5+uVCcb6UwvaJqj/8V1V9IPe2iPhO9r1/q6TVkv4q6XMR8VZ5LZ2OwBkAAABoA6kaAAAAQBsInAEAAIA2EDgDAAAAbSBwBgAAANpA4AwAAAC0gcAZAAAAaAOBMwAAANCG/wMwlotaVAN+JwAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Visualisation des résultats\n", + "\n", + "plt.figure(figsize=(12, 8))\n", + "plt.plot(x, y, lw=0.5, label='signal originel')\n", + "plt.plot(x, filtered_signal, lw=3, label='signal filtré')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 4) image processing\n", + "\n", + "**scipy.ndimage** propose de nombreuses actions pour le traitement d'images: convolutions, filtres de Gauss, méthode de mesures, et morphologie.\n", + "\n", + "La morphologie est une technique qui permet de transformer une matrice (et donc une image) par le déplacement d'une structure sur chaque pixel de l'image. Lorsqu'un pixel \"blanc\" est visité, la structure peut effectuer une opération:\n", + "- de dilation: imprime des pixels\n", + "- d'érosion : efface des pixels\n", + "\n", + "Cette technique peut-etre utile pour nettoyer une image des artefacts qui peuvent la composer." + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [], + "source": [ + "from scipy import ndimage" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAP8AAAD8CAYAAAC4nHJkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvnQurowAADTdJREFUeJzt3W+oHXV+x/H3t+lNUv+xpq5uGkOzSrasLBrlEgXLsl3rmspCFNpFHyx5IHuXskKF7QOx0FpowS1V8ZEl1rDZYv3T6mIoQjaELbJQolerMW5adSWtaULiEpfYysZ/3z44E7jJ3j8n55yZk3u/7xdczpw5M2e+d7if+5uZ3zm/icxEUj2/Nu4CJI2H4ZeKMvxSUYZfKsrwS0UZfqkowy8VZfilogy/VNSvD7NyRGwCHgKWAX+fmffNt/zyWJErOXeYTapjX7jygzlfe2PvOR1Won78kv/jwzwR/Swbg368NyKWAW8ANwIHgReB2zPzp3Otc0GsymvjhoG2p/HYeeiVOV+76bc2dFiJ+rEnd3M8j/UV/mEO+zcCb2Xm25n5IfAEsHmI95PUoWHCvwZ4Z8bzg808SYvAMOf8sx1a/Mo5RERMAVMAK/EcUTpbDNPyHwTWznh+KXDo9IUyc2tmTmbm5AQrhticpFEaJvwvAusj4vMRsRy4DdgxmrIktW3gw/7M/Dgi7gR20uvq25aZr4+ssrPQXFe+l/JV76X8u1U3VD9/Zj4HPDeiWiR1yE/4SUUZfqkowy8VZfilogy/VNRQV/ursdtLS4ktv1SU4ZeKMvxSUYZfKsrwS0V5tV+dcliw/rW9r2z5paIMv1SU4ZeKMvxSUYZfKsrwS0XZ1adOnS3deYuhy7HtOmz5paIMv1SU4ZeKMvxSUYZfKsrwS0UN1dUXEQeA94FPgI8zc3IURUltO1u68wY1V1flxps+6Ps9RtHP/3uZ+fMRvI+kDnnYLxU1bPgT+FFEvBQRU6MoSFI3hj3svz4zD0XExcCuiPiPzHx+5gLNP4UpgJWcM+TmJI3KUC1/Zh5qHo8CPwQ2zrLM1syczMzJCVYMszlJIzRw+CPi3Ig4/+Q08DVg36gKk9SuyMzBVoy4jF5rD73Th3/MzL+eb53Jq1bmCzvXzvraYu96UX8Ww7fpFrM9uZvjeSz6WXbgc/7MfBu4atD1JY2XXX1SUYZfKsrwS0UZfqkowy8VNXBX3yAuiFV5bdww62t2AY2P+37pOJOuPlt+qSjDLxVl+KWiDL9UlOGXijprbtflVeXxWcr7fq6ejKX8O/fLll8qyvBLRRl+qSjDLxVl+KWiDL9U1FnT1afxWcpf7Fns9bfJll8qyvBLRRl+qSjDLxVl+KWiDL9U1IJdfRGxDfg6cDQzv9TMWwU8CawDDgDfyMz32itzaZqvi+1ssRhqtDtvMP20/N8HNp02725gd2auB3Y3zyUtIguGPzOfB46dNnszsL2Z3g7cMuK6JLVs0HP+SzLzMEDzePHoSpLUhdY/3hsRU8AUwErOaXtzkvo0aMt/JCJWAzSPR+daMDO3ZuZkZk5OsGLAzUkatUHDvwPY0kxvAZ4dTTmSurJg+CPiceDfgN+JiIMRcQdwH3BjRLwJ3Ng8l7SILHjOn5m3z/HS7Dfdk7Qo+Ak/qSjDLxVl+KWiDL9UlOGXinIAz5Ythm/FqSZbfqkowy8VZfilogy/VJThl4oy/FJRdvW1bL7BJe0G1DjZ8ktFGX6pKMMvFWX4paIMv1SUV/ul08zXC7OUbg1myy8VZfilogy/VJThl4oy/FJRhl8qasGuvojYBnwdOJqZX2rm3Qt8C3i3WeyezHyurSKlLi2l7rz59NPyfx/YNMv8BzNzQ/Nj8KVFZsHwZ+bzwLEOapHUoWHO+e+MiL0RsS0iLhxZRZI6MWj4HwYuBzYAh4H751owIqYiYjoipj/ixICbkzRqA4U/M49k5ieZ+SnwCLBxnmW3ZuZkZk5OsGLQOiWN2EDhj4jVM57eCuwbTTmSutJPV9/jwFeAiyLiIPAXwFciYgOQwAHg2y3WKKkFC4Y/M2+fZfajLdQiqUN+wk8qyvBLRRl+qSjDLxVl+KWiOh3A8wtXfsDOnbMPjljlm1TS2cKWXyrK8EtFGX6pKMMvFWX4paIMv1RUp119b+w9Z6RdelXuqSa1wZZfKsrwS0UZfqkowy8VZfilohb1F3u8oi8NzpZfKsrwS0UZfqkowy8VZfilogy/VFQ/t+taC/wA+BzwKbA1Mx+KiFXAk8A6erfs+kZmvjffe436iz2SBtdPy/8x8N3M/CJwHfCdiLgCuBvYnZnrgd3Nc0mLxILhz8zDmflyM/0+sB9YA2wGtjeLbQduaatISaN3Ruf8EbEOuBrYA1ySmYeh9w8CuHjUxUlqT9/hj4jzgKeBuzLz+BmsNxUR0xEx/REnBqlRUgv6Cn9ETNAL/mOZ+Uwz+0hErG5eXw0cnW3dzNyamZOZOTnBilHULGkEFgx/RATwKLA/Mx+Y8dIOYEszvQV4dvTlSWpLP9/qux74JvBaRJz8St49wH3AUxFxB/DfwB+1U6KkNiwY/sz8CRBzvHzDaMuR1BU/4ScVZfilogy/VJThl4oy/FJRnQ7gqVP5DUeNky2/VJThl4oy/FJRhl8qyvBLRRl+qSi7+lq289Ds9yaExd/Vt5R/twps+aWiDL9UlOGXijL8UlGGXyoqMrOzjV0Qq/LacOSvyuwh+FVz7ZP59sdc62y86R2mX/3lXMPuncKWXyrK8EtFGX6pKMMvFWX4paIMv1TUgl19EbEW+AHwOeBTYGtmPhQR9wLfAt5tFr0nM5+b773s6juV3V4atT25m+N5rK+uvn6+1fcx8N3MfDkizgdeiohdzWsPZubfDlqopPHp5159h4HDzfT7EbEfWNN2YZLadUbn/BGxDrga2NPMujMi9kbEtoi4cMS1SWpR3+GPiPOAp4G7MvM48DBwObCB3pHB/XOsNxUR0xEx/REnRlCypFHoK/wRMUEv+I9l5jMAmXkkMz/JzE+BR4CNs62bmVszczIzJydYMaq6JQ1pwfBHRACPAvsz84EZ81fPWOxWYN/oy5PUln6u9l8PfBN4LSJO9k3dA9weERuABA4A326lwiWsy+48uxV1un6u9v8EmK3fcN4+fUlnNz/hJxVl+KWiDL9UlOGXijL8UlElb9dVsdtrqf5eGpwtv1SU4ZeKMvxSUYZfKsrwS0UZfqmokl19dntJtvxSWYZfKsrwS0UZfqkowy8VZfilogy/VJThl4oy/FJRhl8qyvBLRRl+qah+7tW3MiJeiIhXI+L1iPjLZv7nI2JPRLwZEU9GxPL2y5U0Kv20/CeAr2bmVfRux70pIq4Dvgc8mJnrgfeAO9orU9KoLRj+7Pnf5ulE85PAV4F/buZvB25ppUJJrejrnD8iljV36D0K7AJ+BvwiMz9uFjkIrGmnRElt6Cv8mflJZm4ALgU2Al+cbbHZ1o2IqYiYjojpjzgxeKWSRuqMrvZn5i+AfwWuAz4TESdHAroUODTHOlszczIzJydYMUytkkaon6v9n42IzzTTvwH8PrAf+DHwh81iW4Bn2ypS0uj1M4bfamB7RCyj98/iqcz8l4j4KfBERPwV8O/Aoy3WKWnEFgx/Zu4Frp5l/tv0zv8lLUJ+wk8qyvBLRRl+qSjDLxVl+KWiInPWD+a1s7GId4H/ap5eBPy8s43PzTpOZR2nWmx1/HZmfrafN+w0/KdsOGI6MyfHsnHrsA7r8LBfqsrwS0WNM/xbx7jtmazjVNZxqiVbx9jO+SWNl4f9UlFjCX9EbIqI/4yItyLi7nHU0NRxICJei4hXImK6w+1ui4ijEbFvxrxVEbGrGRB1V0RcOKY67o2I/2n2ySsRcXMHdayNiB9HxP5mkNg/aeZ3uk/mqaPTfdLZoLmZ2ekPsIzeMGCXAcuBV4Eruq6jqeUAcNEYtvtl4Bpg34x5fwPc3UzfDXxvTHXcC/xpx/tjNXBNM30+8AZwRdf7ZJ46Ot0nQADnNdMTwB56A+g8BdzWzP874I+H2c44Wv6NwFuZ+XZmfgg8AWweQx1jk5nPA8dOm72Z3kCo0NGAqHPU0bnMPJyZLzfT79MbLGYNHe+TeeroVPa0PmjuOMK/BnhnxvNxDv6ZwI8i4qWImBpTDSddkpmHofdHCFw8xlrujIi9zWlB66cfM0XEOnrjR+xhjPvktDqg433SxaC54wh/zDJvXF0O12fmNcAfAN+JiC+PqY6zycPA5fTu0XAYuL+rDUfEecDTwF2Zebyr7fZRR+f7JIcYNLdf4wj/QWDtjOdzDv7Ztsw81DweBX7IeEcmOhIRqwGax6PjKCIzjzR/eJ8Cj9DRPomICXqBeywzn2lmd75PZqtjXPuk2fYZD5rbr3GE/0VgfXPlcjlwG7Cj6yIi4tyIOP/kNPA1YN/8a7VqB72BUGGMA6KeDFvjVjrYJxER9MaA3J+ZD8x4qdN9MlcdXe+TzgbN7eoK5mlXM2+mdyX1Z8CfjamGy+j1NLwKvN5lHcDj9A4fP6J3JHQH8JvAbuDN5nHVmOr4B+A1YC+98K3uoI7fpXcIuxd4pfm5uet9Mk8dne4T4Ep6g+LupfeP5s9n/M2+ALwF/BOwYpjt+Ak/qSg/4ScVZfilogy/VJThl4oy/FJRhl8qyvBLRRl+qaj/B0H7peYkOhTgAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Création d'une image avec quelques artefacts\n", + "np.random.seed(0)\n", + "X = np.zeros((32, 32))\n", + "X[10:-10, 10:-10] = 1\n", + "X[np.random.randint(0,32,30),np.random.randint(0,32,30)] = 1 #ajout d'artefacts aléatoires\n", + "plt.imshow(X)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# opération de binary_opening = érosion puis dilation\n", + "open_X = ndimage.binary_opening(X)\n", + "plt.imshow(open_X)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 5) Application : Image processing (cas réel)\n", + "\n", + "Vous pouvez télécharger cette image a l'adresse suivante:" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(507, 537)" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# importer l'image avec pyplot\n", + "image = plt.imread('bacteria.png')\n", + "image = image[:,:,0] # réduire l'image en 2D\n", + "plt.imshow(image, cmap='gray') # afficher l'image\n", + "image.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# copy de l'image, puis création d'un histogramme\n", + "image_2 = np.copy(image)\n", + "plt.hist(image_2.ravel(), bins=255)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# boolean indexing: création d'une image binaire\n", + "image= image<0.6\n", + "plt.imshow(image)" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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DoquinlJERufeWvp4j0icJHQlGomxpGdbPSptnadOentE4mQhd1S2qMeiyYrzMYglrlXtrJsvHpE4v0cbBbzNnpppNC2kXRGRqjQ5r0ckTmVijq9ou33CYqNukVhTAtqKRMa4kDitkWvgWdlr5RaRHMS6Z6/aOMuwUqC6EvVYSS+oNrQgpt0ekTjRiTGwq20RSdV4GYuYhT6F8C2MSERkhYjcIyIPisgjIvL5sP80EdkmIo+JyE0icmzYf1z4vCd8f2p0q53sVKnL53pip3gyt3VvxfPGFLlU9paJSF4GzlfV34jIMcBPReQnwGeAr6jqjSLydeBK4Lrw/1lVfYuIXA58CfhQEusdszTp+Yjh7G1EDm2Mb4n5hr2U9i4UElVV4Dfh4zHhT4Hzgb8I+28A/oGRkFwStgF+APyLiEg4T2PqOGBMpyoz8asPFN/z0jVSDb5qc1ZybB9L7a+l2khE5CjgPuAtwNeAXwLPqeqhcMheYE3YXgM8CaCqh0TkeeAk4KmJc24GNgOs4PdnGeYYzVf1nDFfkjQ0rCwq3VRELHSDW+mNKiUkqvoKcJaInAD8GHjbtMPCf5nzXfGcW4AtABvOXKFLS82dawiRgjOdtkUkJnWXLrAiIlCx+1dVnwPuBs4BThCRsRCtBfaF7b3AOoDw/euBZ2IYu4icjXxDmdGbGmsja7ucp236f5lemzeGSAQReTXwp8Au4C7g0nDYFcAtYfvW8Jnw/Z2x2kfmUWbNzzYStsuON0mKoeIpq5uLiL3uaqpG4RjRSNuReZmqzWrghtBO8irgZlW9TUR+AdwoIl8AHgCuD8dfD3xbRPYwikQuT2D3YcomWNUuvj4JQlfIubhyDlK1s+W41zK9NjuBd0zZ/ziwccr+l4DLolg3gzYcrkkPkLfVTCeHOFvNh3nvD2pic677NTmyNWb31/g8ZZ14UWZO2+89OM3xNBtRtzqZO/2kheaLhRwvq3STXBD9vLGegLkzKTcxBo+lrtNXKWDFY3MU3CZp0ea6stt0Ky/oM9N6YZdhMiKpS8rxCUMXk1lYSZuxDdO6Uudhxf4xuddqqUunhSTHNHRLmbcIK1Uuaz0MTZm3HELqRZGsplXnhCR3b0oXBWWMtadvTFL6RbGNLeeaKpbpzHok1gZ8WbKlCtbsti5s8xrq5/W8DA3TEUnsyXazzl933Ijl6MSKQ3dhhfWyFPM5xWA8i35UFpNCEsNBymTKtDUf6jpIl52gKXXvP2XPRxs21LmWFYGPjTkhqZPQKYY99zXDoXrBt1QAcgtIkwGJVtIwBSaE5PQzDlJ19m/qJ0mVka1DjkbmEbvgNDlfrNGiqUQ1tg+1vdiRCSGpSs6CO5SFjVJTNf3qFt4c+ZRzLEjVdIrVzteZXhuIP3uziR3WST2eoU3qrDVixVeKpF6asUmeNvWHTkQk1hxiiMwL6au2B8QaVt/k3HVp2vOSaumB3JgXEhcRG8xzXgtVvdzXT4lF4ZjEtJD02Tn6TOoV4q2Su72jCU1tNyskfXY4K6SIJNpeuLvt5TRT2pEr8ohhuzkhcQE5guWRs9PIOdK0y+SsuvSu+7cvTmGJmGMeYpwr1iC4XL4SMz37IB5FTAjJ7p0r2VRq+ZTh0IUGtirEcF6rD5u2xsTUpY10MyEkznKsFppZzFvSsu69WEyDeUsKzCKVcFhKHxcSJyqTc5UsOXssqtxTbBGxmp4uJD0n14Q7qw7fJrknGLaJC0nPaWvN0i44e5foWnq6kPQcS0sAOPPpmngUcSFxnMx0WUDGdGr2r5OXWQ7fh4KQA4szlOviQjIA+uKsuag7RX+e8PYtT7xq43SGtruUp71sq+q1+yYYs+j1KzudI8RcwbzKC6HqUiUCSGHDUGcwF6nyyk6v2jjmqLtcoJMPr9o4lUm9ZGCT33V5On+XcSFxspJipfmhVD0s4VUbJxsWn/wWbeoCHpE4reOFtX+UFhIROQrYDvyPqr5PRE4DbgRWAfcDH1XV34rIccC3gD8CngY+pKpPNDV00vk8fO0WbYlHrhenDZ0qVZtPAbsKn78EfEVV1wPPAleG/VcCz6rqW4CvhOMaYeWt7+OBSf5ErUZfRMSZTSkhEZG1wHuBfwufBTgf+EE45Abgg2H7kvCZ8P0F4fhaWCi008TDgl0xSdHo2abottFb40I1m7JVm68CnwVeFz6fBDynqofC573AmrC9BngSQFUPicjz4finiicUkc3AZoAVrJx60ZyFtcnLoodKH5cQdMqxUEhE5H3AAVW9T0TOG++ecqiW+O7IDtUtwBYYjWwtZa1jDhcPB8pFJOcCHxCRi4EVwPGMIpQTROToEJWsBfaF4/cC64C9InI08HrgmeiWJ6Rv1RZIsy5Jl6otTloWComqXgNcAxAikr9R1Y+IyPeBSxn13FwB3BJ+cmv4/LPw/Z1qYUJPSfooIrFJnUY5hMPbR5rRZBzJ54AbReQLwAPA9WH/9cC3RWQPo0jk8jonz5Gxdd56PzRSiMgQ07FvVBISVb0buDtsPw5snHLMS8BlEWxrFY9EFjOUFdGd6pgc2dpmNFK3cAytEPR5RXSv1jTH59o4h0kZlfVxVTDnCCYjEst4YaiGp9cwMCckbYWZMdfg7AptvZqi6+lUpE/3kpJOVW1cRNIy7x7L3L9XX4aLuYjEIn0qHE2iksl08CkCzhhTQpJ6wV2PRGZT5z6HkjbOYjpVtWmCi8gR+npfdfDxQ3EwFZHMoqnjWxERf8VBt/A8KU8nhKQuXRCQRcekcuZiW4kXGKcpZoTEwsxUC/N3Fv2+D4V+WpqM76uNl2+VxRuTy2NGSGZRJyOtiEgKphW0ppFFmwVmVt4sWk6zeK9d7z0q459duh8w8srODWeu0HuW1i3bXzUxLc6bsdSYV6brty9pUfY+UqZH12dKV3llpwkhOV5W6XP7T1q2vw0haSNjLIlJE3I0ejdhkb1dE5FZpPLhzr379/QzDjY+h1URafM6qWlaONpOh1wC3vZ1LSxMbraNpIrTdWFBorbmuTjDpKmYNC0TJoWkbyIyee0hC4qlNHBxP0LT3kETVZsifakGzMMnt7WTz0NP4yYs7dtRqcnBnJCkxJpjdU1QYts6vn+LadDEJov3kxqTVRuINxCrC5lapndh2jiK1CuatUnM8UJVzjWtehPj3svmUZW8TFnlb4qJ7t8NZ67QEx96/+FCMm/k4yQ+f8WJQerpAlUHzaUa4Vu8z0Vis/GiJ9n+4EvdGkeySS4A6glDH4eRO05bzHqAd05IxhHJGI8yHCcf4/JXRUjMNLb2cf6B43SROuXMjJBMM77You8i4jjtUbW8majaFNtIHNt45GiDNtaS6dxcG8c+S/t2lO5S9NGi6ZjMh7KLZqXOE7PjSJz4zOqCnPV0c0HIQ+qu3xTnNi0k3q3bjEWLBVX5zmmHKuM8LNGJqo2liV6Ok5JFHQzFfXWnF6SYlmC+sbXKKFfnCDlF1/OnH1RpbO1U1cYpR650cwEZLqarNu6Y9ci1cJMzXExHJE592misc/FwxpQSEhF5AngReAU4pKobRGQVcBNwKvAE8Oeq+qyICPDPwMXAQeAvVfX+qobN6qp05y1PMa3mzayuei6nHbrUPlglIvkTVX2q8PlqYKuqflFErg6fPwe8B1gf/jYB14X/lbCaYF3Fpxq0w6zC37V371SlVK9NiEg2FIVERB4FzlPV/SKyGrhbVd8qIt8I29+bPG7W+RcNkffxJI5lUrzBwMIM+BRD5BX4TxG5T0Q2h32njMUh/D857F8DPFn47d6w7/cQkc0isl1Etv+Ol2de2HtuHKs0GXreN78uKyTnqurZjKotV4nIu+YcO03BloU9qrpFVTeo6oZjOG7qibpUR3SGRQwh6JOYlBISVd0X/h8AfgxsBH4dqjSE/wfC4XuB4vs31wL7YhnsOLlpQwBmjT61+iBd2EYiIq8BXqWqL4btO4B/BC4Ani40tq5S1c+KyHuBTzLqtdkEXKuqGxdc40Xg0ea30wpvAJ5aeJQN3NY0DMXWP1DVN5Y5sEyvzSnAj0e9uhwNfFdV/0NE7gVuFpErgV8Bl4Xjb2ckInsYdf9+vMQ1HlXVDWUMzo2IbHdb4+O2pqEtWxcKiao+Dpw5Zf/TjKKSyf0KXBXFOsdxOoHpIfKO43QDK0KyJbcBFXBb0+C2pqEVW00sI+A4TrexEpE4jtNhsguJiLxbRB4VkT2hGzm3Pd8UkQMi8nBh3yoRuUNEHgv/Twz7RUSuDbbvFJGzW7RznYjcJSK7ROQREfmUYVtXiMg9IvJgsPXzYf9pIrIt2HqTiBwb9h8XPu8J35/alq0Fm48SkQdE5DbLtorIEyLykIjsEJHtYV/7PqCq2f6Ao4BfAm8GjgUeBN6e2aZ3AWcDDxf2/RNwddi+GvhS2L4Y+Amj0bznANtatHM1cHbYfh2wG3i7UVsFeG3YPgbYFmy4Gbg87P868Fdh+xPA18P25cBNGfzgM8B3gdvCZ5O2Mpp5/4aJfa37QKuZMyUR3gksFT5fA1yT06Zgx6kTQvIosDpsr2Y07gXgG8CHpx2XweZbgAut2wqsBO5nNFjxKeDoSV8AloB3hu2jw3HSoo1rga3A+cBtoeBZtXWakLTuA7mrNqUm+Bmg0QTF1IRw+h2MnvQmbQ1VhR2MplLcwSgSfU5VD02x57Ct4fvngZPashX4KvBZ4P/C55Owa2v0CbV1yL1CWqkJfobJbr+IvBb4IfBpVX0hjECeeuiUfa3ZqqqvAGeJyAmM5mu9bY492WwVkfcBB1T1PhE5r4Q9uX3gXFXdJyInA3eIyH/POTaZrbkjkq5M8DM5QVFEjmEkIt9R1R9ZtnWMqj4H3M2ojn6CiIwfZkV7Dtsavn898ExLJp4LfEBGa/DcyKh681WjtqJGJtTmFpJ7gfWhRfxYRo1Vt2a2aRq3AleE7SsYtUeM938stIafAzyvcxZwiomMQo/rgV2q+mXjtr4xRCKIyKuBPwV2AXcBl86wdXwPlwJ3aqjUp0ZVr1HVtap6KiN/vFNVP2LRVhF5jYi8brwN/BnwMDl8oK1GoTmNRRcz6nH4JfB3Buz5HrAf+B0jBb+SUZ13K/BY+L8qHCvA14LtDzFaRa4tO/+YUVi6E9gR/i42ausZwAPB1oeBvw/73wzcw2iC5/eB48L+FeHznvD9mzP5wnkc6bUxZ2uw6cHw98i4/OTwAR/Z6jhOY3JXbRzH6QEuJI7jNMaFxHGcxriQOI7TGBcSx3Ea40LiOE5jXEgcx2mMC4njOI35fzNvw2kKKEk4AAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# morphologie utilisée pour enlever les artefacts\n", + "open_image = ndimage.binary_opening(image)\n", + "plt.imshow(open_image)" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "il y a 53 groupes\n" + ] + } + ], + "source": [ + "# Segmentation de l'image: label_image contient les différents labels et n_labels est le nombre de labels\n", + "label_image, n_labels = ndimage.label(open_image)\n", + "print(f'il y a {n_labels} groupes')" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Visualisation de l'image étiquetée\n", + "plt.imshow(label_image)" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [], + "source": [ + "# Mesure de la taille de chaque groupes de label_images (fait la somme des pixels)\n", + "sizes = ndimage.sum(open_image, label_image, range(n_labels))" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Visualisation des résultats\n", + "plt.scatter(range(n_labels), sizes)\n", + "plt.xlabel('bactérie ID')\n", + "plt.ylabel('taille relative')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.3" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +}